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question_answer1)
The experiments which when repeated under identical conditions produce the same results or outcomes are known as\AA
A)
random experiments done
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B)
probabilistic experiment done
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C)
elementary experiment done
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D)
deterministic experiment done
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question_answer2)
An outcome of a random experiment is called an ......... event.
A)
elementary done
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B)
complementary done
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C)
equally-likely done
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D)
None of these done
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question_answer3)
An event associated to a random experiment is a compound event if it is obtained by combining two or more elementary events associated to the random experiment
A)
True done
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B)
False done
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C)
Can't say done
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D)
Partially true/False done
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question_answer4)
The sum of probabilities of all the outcomes of an experiment is greater than one
A)
True done
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B)
False done
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C)
Can't say done
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D)
Partially true/False done
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question_answer5)
The sum of the probability of all elementary events of an experiment is p, then
A)
\[0<p<1\] done
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B)
\[0\le p<1\] done
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C)
p=1 done
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D)
p=0 done
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question_answer6)
For an event E, \[P\left( E \right)+P\left( \overline{E} \right)=q\], then
A)
\[0\le q<1\] done
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B)
\[0<q\le 1\] done
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C)
\[0<q<1\] done
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D)
None of these done
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question_answer7)
If \[P\left( E \right)=0.05\], the probability of 'not E' is ......... .
A)
0.85 done
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B)
0.95 done
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C)
0.25 done
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D)
None of these done
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question_answer8)
If an event cannot occur, then its probability is
A)
1 done
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B)
\[\frac{3}{4}\] done
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C)
\[\frac{1}{2}\] done
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D)
0 done
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question_answer9)
Which of the following cannot be the probability of an event?
A)
1.5 done
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B)
\[\frac{3}{5}\] done
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C)
25% done
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D)
0.3 done
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question_answer10)
An event is very unlikely to happen. Its probability is closest to
A)
0.0001 done
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B)
0.001 done
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C)
0.01 done
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D)
0.1 done
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question_answer11)
A number x is chosen at random from the numbers- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4. What is the probability that \[|x|\,<1?\]
A)
1 done
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B)
0 done
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C)
\[\frac{2}{9}\] done
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D)
\[\frac{1}{9}\] done
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question_answer12)
A letter is chosen at random from the word 'MATHEMATICS'. What is the probability that it will be a vowel?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{3}{8}\] done
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C)
\[\frac{3}{11}\] done
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D)
\[\frac{4}{11}\] done
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question_answer13)
The probability that an ordinary year contains 53 Sundays is
A)
\[\frac{2}{7}\] done
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B)
\[\frac{1}{7}\] done
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C)
\[\frac{7}{53}\] done
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D)
\[\frac{7}{52}\] done
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question_answer14)
A letter is chosen at random from the letters of the word 'ASSASSINATION', then the probability that the letter chosen is a vowel and is in the form of , then x is equal to
A)
5 done
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B)
6 done
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C)
7 done
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D)
8 done
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question_answer15)
A con is tossed twice. The probability of getting both heads is
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{4}\] done
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D)
1 done
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question_answer16)
Two unbiased coins are tossed simultaneously then the probability of getting no head is \[\frac{A}{B}\], then \[{{\left( A+B \right)}^{2}}\]is equal to
A)
1 done
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B)
4 done
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C)
5 done
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D)
25 done
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question_answer17)
A coin and a die is tossed simultaneously. The probability of the event that 'tail' and a prime number turns up
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{4}\] done
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C)
\[\frac{1}{3}\] done
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D)
\[\frac{2}{3}\] done
clear
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question_answer18)
Three unbiased coins are tossed together, then which of the following is true?
A)
the probability of getting exactly 2 heads is 1/2 done
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B)
the probability of getting atleast one head is 5/8 done
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C)
the probability of getting almost 2 tails is 3/8 done
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D)
the probability of getting exactly one tail is 3/8 done
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question_answer19)
If three different coins are tossed together, then the probability of getting two heads is
A)
\[\frac{1}{8}\] done
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B)
\[\frac{3}{8}\] done
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C)
\[\frac{5}{8}\] done
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D)
None of these done
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question_answer20)
Three coins are tossed together. The possible outcomes are no head, 1 head, 2 head and 3 heads. So, I say that probability of no head is\[\frac{1}{4}\]
A)
True done
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B)
False done
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C)
Can't say done
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D)
Partially true/False done
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question_answer21)
A die is thrown once, the probability of getting a prime number is ......... .
A)
\[\frac{1}{3}\] done
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B)
\[\frac{1}{4}\] done
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C)
\[\frac{2}{3}\] done
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D)
\[\frac{1}{2}\] done
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question_answer22)
On a single roll of a die, the probability of getting a number less than 7 is
A)
1 done
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B)
0 done
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C)
\[\frac{2}{3}\] done
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D)
None of these done
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question_answer23)
A die is thrown once. The probability of getting a number which is not a factor of 36 is
A)
\[\frac{1}{6}\] done
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B)
\[\frac{2}{3}\] done
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C)
\[\frac{1}{5}\] done
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D)
0 done
clear
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question_answer24)
. A fair dice is rolled. Probability of getting a number x such that \[1\le x\le 6\], is
A)
0 done
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B)
>1 done
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C)
between 0 and 1 done
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D)
1 done
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question_answer25)
In a throw of a pair of dice. What is the probability of getting a doublet?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{6}\] done
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C)
\[\frac{2}{3}\] done
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D)
\[\frac{1}{3}\] done
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question_answer26)
Two dice are thrown together. The probability that sum of the two numbers will be a multiple of 4, is
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{8}\] done
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D)
\[\frac{1}{4}\] done
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question_answer27)
Two dice are rolled once. Then, the probability of getting such numbers on the two dice, whose product is 12 is
A)
\[\frac{1}{9}\] done
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B)
\[\frac{2}{9}\] done
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C)
\[\frac{4}{9}\] done
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D)
\[\frac{5}{9}\] done
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question_answer28)
Two dice are thrown at the same time the probability that, the sum of two numbers appearing on the top of the dice is greater than 6 but less than 9, is
A)
\[\frac{12}{13}\] done
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B)
\[\frac{11}{36}\] done
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C)
\[\frac{14}{13}\] done
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D)
\[\frac{9}{5}\] done
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question_answer29)
Two dice are thrown simultaneously. Select the correct option.
A)
the probability of not getting doublet is \[\frac{5}{6}\] done
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B)
the probability of getting a total of at least 10 is 1/6 done
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C)
the probability of not getting a total as a perfect square is 29/36 done
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D)
All of the above done
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question_answer30)
Three dice are thrown once. The probability that all the dice show different faces is
A)
\[\frac{5}{18}\] done
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B)
\[\frac{2}{9}\] done
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C)
\[\frac{8}{15}\] done
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D)
\[\frac{5}{9}\] done
clear
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question_answer31)
A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is\[\frac{3}{13}\].
A)
True done
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B)
False done
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C)
Can't say done
clear
D)
Partially true/False done
clear
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question_answer32)
A card is selected from a deck of 52 cards, then the probability of its being a red face card is
A)
\[\frac{3}{26}\] done
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B)
\[\frac{3}{13}\] done
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C)
\[\frac{2}{13}\] done
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D)
\[\frac{1}{2}\] done
clear
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question_answer33)
A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
A)
4 done
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B)
13 done
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C)
48 done
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D)
51 done
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question_answer34)
One card is drawn from a well-shuffled deck of 52 cards. Then, the probability of getting a king of red colour is
A)
\[\frac{1}{14}\] done
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B)
\[\frac{12}{24}\] done
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C)
\[\frac{1}{8}\] done
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D)
\[\frac{1}{26}\] done
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question_answer35)
One card is drawn from a well shuffled deck of 52 cards, then which of the following is true?
A)
the probability that the card will be diamond is 1/2 done
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B)
the probability of an ace of heart is 1/52 done
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C)
the probability of not a heart is ¼ done
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D)
the probability of king or queen is 1/26 done
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question_answer36)
From a well shuffled pack of cards, a card is drawn at random. The probability of getting a black queen is
A)
\[\frac{1}{6}\] done
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B)
\[\frac{1}{12}\] done
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C)
\[\frac{1}{26}\] done
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D)
None of the above done
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question_answer37)
A bag contains 5 red balls and some blue balls. If the probability of drawings a blue ball is double that of a red ball, the number of blue balls in the bag is 10.
A)
True done
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B)
False done
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C)
Can't say done
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D)
Partially true/False done
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question_answer38)
A bag contains 8 red balls and some blue balls. If the probability of drawing a blue ball is three times of a red ball, then the number of blue balls in the bag
A)
12 done
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B)
18 done
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C)
24 done
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D)
36 done
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question_answer39)
A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. The probability that the ball drawn is not black, is
A)
\[\frac{1}{3}\] done
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B)
\[\frac{9}{15}\] done
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C)
\[\frac{5}{10}\] done
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D)
\[\frac{2}{3}\] done
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question_answer40)
The probability of getting a defective bulb in a lot of 500 bulbs is 0.290. Then, the number of defective bulbs in the lot is
A)
140 done
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B)
145 done
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C)
50 done
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D)
100 done
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question_answer41)
Someone is asked to make a number from 1 to 100. The probability that it is a prime is .........
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{4}\] done
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D)
\[\frac{2}{3}\] done
clear
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question_answer42)
If a number x is chosen at random from the numbers - 2, - 1, 0, 1, 2. Then, the probability that \[{{x}^{2}}<2\]is
A)
\[\frac{2}{5}\] done
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B)
\[\frac{4}{5}\] done
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C)
\[\frac{1}{5}\] done
clear
D)
\[\frac{3}{5}\] done
clear
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question_answer43)
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9, then the probability that the product xy of the two numbers will be less than 9 is
A)
\[\frac{3}{7}\] done
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B)
\[\frac{4}{9}\] done
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C)
\[\frac{5}{9}\] done
clear
D)
\[\frac{7}{9}\] done
clear
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question_answer44)
A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six
A)
\[\frac{3}{4}\] done
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B)
\[\frac{1}{4}\] done
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C)
\[\frac{1}{2}\] done
clear
D)
1 done
clear
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question_answer45)
There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of them contain a cash prize of Rs 50 each and 200 of them contain a cash prize of Rs 10 each and rest do not contain any cash prize. If they are well-shuffled and an envelope is picked up out, then the probability that is contains no cash prize is
A)
0.65 done
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B)
0.69 done
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C)
0.54 done
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D)
0.57 done
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question_answer46)
Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random, then the probability that the ticket has a number which is a multiple of 3 or 7 is
A)
\[\frac{2}{5}\] done
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B)
\[\frac{3}{5}\] done
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C)
\[\frac{4}{5}\] done
clear
D)
\[\frac{1}{5}\] done
clear
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question_answer47)
Ramesh buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random a tank containing 5 male fish and 9 female fish. Then, the probability that the fish taken out is a male fish, is
A)
\[\frac{5}{13}\] done
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B)
\[\frac{5}{14}\] done
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C)
\[\frac{6}{13}\] done
clear
D)
\[\frac{7}{13}\] done
clear
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question_answer48)
In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is \[\frac{1}{4}\]. Is it true?
A)
True done
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B)
False done
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C)
Data insufficient done
clear
D)
None of these done
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question_answer49)
Match option of Column I with the appropriate option of Column II.
| Column - I | | Column - II |
A. | A. Probability of getting number 5 in throwing a dice. | p. | 0 |
B. | Probability of obtaining three heads in a single throw of a coin. | q. | \[\frac{1}{6}\] |
C. | Probability of getting the sum of the numbers as 7, when two dice are thrown | r. | 1 |
D. | Probability of occurrence of two sure independent events. | s. | \[\frac{6}{36}\] |
A)
A-p, B-q, C-s, D-r done
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B)
A-q, B-p, C-s, D-r done
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C)
A-q, B-r, C-p, D-s done
clear
D)
A-p, B-q, C-s, D-r done
clear
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question_answer50)
Match option of Column I with the appropriate option of Column II.
| Column - I | | Column - II |
A. | The probability of a sure event is | p. | 0 |
B. | The probability of impossible event is | q. | 1 |
C. | Number of face cards in the pack of cards is | r. | \[\frac{2}{7}\] |
D. | Probability of occuring 53 Sundays in a leap year is | s. | 12 |
A)
A-q, B-p, C-s, D-r done
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B)
A-p, B-s, C-r, D-q done
clear
C)
A-p, B-r, C-q, D-s done
clear
D)
A-q, B-p, C-r, D-s done
clear
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