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Given two events A and B. If odds against A are as 2:1 and those in favour of A B are as 3:1, then ...
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The probability that a marksman will hit a target is given as 1/5. Then the probability that at leas ...
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A six-faced dice is so biased that it is twice as likely to show an even number as an odd number whe ...
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A student appears for tests I, II and III. The student is successful if he passes either in tests I ...
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A problem in mathematics is given to three students A, B, C and their respective probability of solv ...
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The probability that in a family of 5 members, exactly two members have birthday on Sunday is ...
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Three houses are available in a locality. Three persons apply for the houses. Each applies for one h ...
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The numbers 1, 2, 3, ..., n are arranged in random order. The probability that the digits 1, 2, 3, . ...
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A die is thrown a fixed number of times. If probability of getting even number 3 times is same as th ...
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A pair of four dice is thrown independently three times. The probability of getting a score of exact ...
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Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probabili ...
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Words from the letters of the word PROBABILITY are formed by taking all letters at a time. The proba ...
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A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and th ...
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Let A, B, C, D be independent events such that P(A)=1/2, P(B)= 1/3, P(C) = 1/5 and P(D) = 1/6. Then ...
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A sample space consists of 3 sample points with associated probabilities given as 2p, p², 4p-1. Then ...
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South African cricket captain lost the toss of a coin 13 times out of 14. The chance of this happeni ...
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Events A and C are independent. If the probabilities relating A, B and C are P(A)=1/5, P(B)=1/6; P(A ...
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There are only two women among 20 persons taking part in a pleasure trip. The 20 persons are divided ...
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Let A and B be two events. Suppose P(A)=0.4, P(B)= p and P(A U B)=0.7. The value of p for which A an ...
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Five different games are to be distributed among 4 children randomly. The probability that each chil ...
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A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out ...
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Two dices are rolled one after the other. The probability that the number on the first is smaller th ...
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A natural number is chosen at random from the first 100 natural numbers. The probability that (X + 1 ...
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A four-figure number is formed of the figures 1, 2, 3, 5 with no repetitions. The probability that t ...
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Twelve balls are distributed among three boxes. The probability that the first box contains three ba ...
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A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept a ...
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A cricket club has 15 members, of whom only 5 can bowl. If the names of 15 members are put into a bo ...
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Three integers are chosen at random from the first 20 integers. The probability that their product i ...
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There are 20 cards. Ten of these cards have the letter 'I' printed on them and the other 10 have the ...
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The chance of an event happening is the square of the chance of a second event but the odds against ...
31
If a party of n persons sit at a round table, then the odds against two specified individuals sittin ...
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The sum of two positive quantities is equal to 2n. The probability that their product is not less th ...
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A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probabilit ...
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Dialing a telephone number an old man forgets the last two digits remembering only that these are di ...
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The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a s ...
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A box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. ...
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An unbiased coin is tossed n times. If the probability that head occurs 6 times is equal to the prob ...
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One ticket is selected at random from 100 tickets numbered 00, 01, 02, ..., 98, 99. If x₁ and x₂ den ...
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Let A and B be two events such that P(A∩B')= 0.20, P(A'∪B)=0.15, P(A'∩B')=0.1, then P(A|B) is equal ...
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A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not ge ...
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Cards are drawn one-by-one at random from a well-shuffled pack of 52 playing cards until 2 aces are ...
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A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is ...
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Two players toss 4 coins each. The probability that they both obtain the same number of heads is ...
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In a game called 'odd man out' m(m > 2) persons toss a coin to determine who will buy refreshments f ...
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If a is an integer lying in [-5, 30], then the probability that the graph of y = x^2 + 2(a + 4)x - 5 ...
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2n boys are randomly divided into two subgroups containing n boys each. The probability that the two ...
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