10th Class Mathematics Probability Question Bank

done MCQs - Probability Total Questions - 50

• question_answer1)
  The experiments which when repeated under identical conditions produce the same results or outcomes are known as\AA
  A)
  random experiments done clear
  B)
  probabilistic experiment done clear
  C)
  elementary experiment done clear
  D)
  deterministic experiment done clear
  View Solution play_arrow

• question_answer2)
  An outcome of a random experiment is called an ......... event.
  A)
  elementary done clear
  B)
  complementary done clear
  C)
  equally-likely done clear
  D)
  None of these done clear
  View Solution play_arrow

• 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 clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially true/False done clear
  View Solution play_arrow

• question_answer4)
  The sum of probabilities of all the outcomes of an experiment is greater than one
  A)
  True done clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially true/False done clear
  View Solution play_arrow

• question_answer5)
  The sum of the probability of all elementary events of an experiment is p, then
  A)
  \[0<p<1\] done clear
  B)
  \[0\le p<1\] done clear
  C)
  p=1 done clear
  D)
  p=0 done clear
  View Solution play_arrow

• question_answer6)
  For an event E, \[P\left( E \right)+P\left( \overline{E} \right)=q\], then
  A)
  \[0\le q<1\] done clear
  B)
  \[0<q\le 1\] done clear
  C)
  \[0<q<1\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer7)
  If \[P\left( E \right)=0.05\], the probability of 'not E' is ......... .
  A)
  0.85 done clear
  B)
  0.95 done clear
  C)
  0.25 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer8)
  If an event cannot occur, then its probability is
  A)
  1 done clear
  B)
  \[\frac{3}{4}\] done clear
  C)
  \[\frac{1}{2}\] done clear
  D)
  0 done clear
  View Solution play_arrow

• question_answer9)
  Which of the following cannot be the probability of an event?
  A)
  1.5 done clear
  B)
  \[\frac{3}{5}\] done clear
  C)
  25% done clear
  D)
  0.3 done clear
  View Solution play_arrow

• question_answer10)
  An event is very unlikely to happen. Its probability is closest to
  A)
  0.0001 done clear
  B)
  0.001 done clear
  C)
  0.01 done clear
  D)
  0.1 done clear
  View Solution play_arrow

• 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 clear
  B)
  0 done clear
  C)
  \[\frac{2}{9}\] done clear
  D)
  \[\frac{1}{9}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{3}{8}\] done clear
  C)
  \[\frac{3}{11}\] done clear
  D)
  \[\frac{4}{11}\] done clear
  View Solution play_arrow

• question_answer13)
  The probability that an ordinary year contains 53 Sundays is
  A)
  \[\frac{2}{7}\] done clear
  B)
  \[\frac{1}{7}\] done clear
  C)
  \[\frac{7}{53}\] done clear
  D)
  \[\frac{7}{52}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  8 done clear
  View Solution play_arrow

• question_answer15)
  A con is tossed twice. The probability of getting both heads is
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{1}{3}\] done clear
  C)
  \[\frac{1}{4}\] done clear
  D)
  1 done clear
  View Solution play_arrow

• 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 clear
  B)
  4 done clear
  C)
  5 done clear
  D)
  25 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[\frac{1}{3}\] done clear
  D)
  \[\frac{2}{3}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  the probability of getting atleast one head is 5/8 done clear
  C)
  the probability of getting almost 2 tails is 3/8 done clear
  D)
  the probability of getting exactly one tail is 3/8 done clear
  View Solution play_arrow

• question_answer19)
  If three different coins are tossed together, then the probability of getting two heads is
  A)
  \[\frac{1}{8}\] done clear
  B)
  \[\frac{3}{8}\] done clear
  C)
  \[\frac{5}{8}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• 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 clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially true/False done clear
  View Solution play_arrow

• question_answer21)
  A die is thrown once, the probability of getting a prime number is ......... .
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[\frac{2}{3}\] done clear
  D)
  \[\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer22)
  On a single roll of a die, the probability of getting a number less than 7 is
  A)
  1 done clear
  B)
  0 done clear
  C)
  \[\frac{2}{3}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{2}{3}\] done clear
  C)
  \[\frac{1}{5}\] done clear
  D)
  0 done clear
  View Solution play_arrow

• question_answer24)
  . A fair dice is rolled. Probability of getting a number x such that \[1\le x\le 6\], is
  A)
  0 done clear
  B)
  >1 done clear
  C)
  between 0 and 1 done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer25)
  In a throw of a pair of dice. What is the probability of getting a doublet?
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{1}{6}\] done clear
  C)
  \[\frac{2}{3}\] done clear
  D)
  \[\frac{1}{3}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{1}{3}\] done clear
  C)
  \[\frac{1}{8}\] done clear
  D)
  \[\frac{1}{4}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{2}{9}\] done clear
  C)
  \[\frac{4}{9}\] done clear
  D)
  \[\frac{5}{9}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{11}{36}\] done clear
  C)
  \[\frac{14}{13}\] done clear
  D)
  \[\frac{9}{5}\] done clear
  View Solution play_arrow

• question_answer29)
  Two dice are thrown simultaneously. Select the correct option.
  A)
  the probability of not getting doublet is \[\frac{5}{6}\] done clear
  B)
  the probability of getting a total of at least 10 is 1/6 done clear
  C)
  the probability of not getting a total as a perfect square is 29/36 done clear
  D)
  All of the above done clear
  View Solution play_arrow

• question_answer30)
  Three dice are thrown once. The probability that all the dice show different faces is
  A)
  \[\frac{5}{18}\] done clear
  B)
  \[\frac{2}{9}\] done clear
  C)
  \[\frac{8}{15}\] done clear
  D)
  \[\frac{5}{9}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially true/False done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{3}{13}\] done clear
  C)
  \[\frac{2}{13}\] done clear
  D)
  \[\frac{1}{2}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  13 done clear
  C)
  48 done clear
  D)
  51 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{12}{24}\] done clear
  C)
  \[\frac{1}{8}\] done clear
  D)
  \[\frac{1}{26}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  the probability of an ace of heart is 1/52 done clear
  C)
  the probability of not a heart is ¼ done clear
  D)
  the probability of king or queen is 1/26 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{1}{12}\] done clear
  C)
  \[\frac{1}{26}\] done clear
  D)
  None of the above done clear
  View Solution play_arrow

• 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 clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially true/False done clear
  View Solution play_arrow

• 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 clear
  B)
  18 done clear
  C)
  24 done clear
  D)
  36 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{9}{15}\] done clear
  C)
  \[\frac{5}{10}\] done clear
  D)
  \[\frac{2}{3}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  145 done clear
  C)
  50 done clear
  D)
  100 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{1}{3}\] done clear
  C)
  \[\frac{1}{4}\] done clear
  D)
  \[\frac{2}{3}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{4}{5}\] done clear
  C)
  \[\frac{1}{5}\] done clear
  D)
  \[\frac{3}{5}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{4}{9}\] done clear
  C)
  \[\frac{5}{9}\] done clear
  D)
  \[\frac{7}{9}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[\frac{1}{2}\] done clear
  D)
  1 done clear
  View Solution play_arrow

• 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 clear
  B)
  0.69 done clear
  C)
  0.54 done clear
  D)
  0.57 done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{3}{5}\] done clear
  C)
  \[\frac{4}{5}\] done clear
  D)
  \[\frac{1}{5}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  \[\frac{5}{14}\] done clear
  C)
  \[\frac{6}{13}\] done clear
  D)
  \[\frac{7}{13}\] done clear
  View Solution play_arrow

• 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 clear
  B)
  False done clear
  C)
  Data insufficient done clear
  D)
  None of these done clear
  View Solution play_arrow

• 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 clear
  B)
  A-q,      B-p,      C-s,       D-r done clear
  C)
  A-q,      B-r,       C-p,      D-s done clear
  D)
  A-p,      B-q,      C-s,       D-r done clear
  View Solution play_arrow

• 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 clear
  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
  View Solution play_arrow