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question_answer1) Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral, equals
question_answer2) Two numbers are selected randomly from the set \[S=\{1,2,3,4,5,6\}\] without replacement one by one. The probability that minimum of the two numbers is not more than 4, is
question_answer3) The probability that in the random arrangement of the letters of the word 'UNIVERSITY', the two I's does not come together is
question_answer4) Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets go to daughters of A is \[1/20\]. The number of daughters each of them have is
question_answer5) A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then \[P(A\cup B)\] is
question_answer6) Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
question_answer7) A and B are events such that \[P(A\cup B)=3/4,\]\[P(A\cap B)=1/4,\] \[P(\bar{A})=2/3\] if \[P(\bar{A}\cap B)\] is \[=\frac{a}{b},\] then \[a\times b\] is
question_answer8) A book contains 1000 pages numbered consecutively. The probability that the sum of the digits of the number of a page is 9, is \[\frac{a}{b},\] then \[a\times b=\]
question_answer9) If the probability of a horse A winning a race is \[1/4\]and the probability of a horse B winning the same race is \[1/5,\]then the probability that either of them will win the race is
question_answer10) Dialing a telephone number an old man forgets the last two digits remembering only that these are different dialled at random. The probability that the number is dialled correctly, is equal to \[\frac{1}{k},\] then k is
question_answer11) If the odds in favour of an event be \[3:5,\] then the probability of non-occurrence of the event is
question_answer12) Out of 15 persons 10 can speak Hindi and 8 can speak English. If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is
question_answer13) The probability of happening at least one of the events A and B is\[0.6\]. If the events A and B happens simultaneously with the probability \[0.2,\]then \[P(\bar{A})+P(\bar{B})=\]
question_answer14) Seven white balls and three black balls are randomly placed in a row. If the probability that no two black balls are placed adjacently, equals \[\frac{7}{a},\] then a is
question_answer15) From 10,000 lottery tickets numbered from 1 to 10,000 one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by 20
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