1 The probability that A can solve the problem is 2/3 and B can solve the problem is ¾.if both of them attempt the problem, then what is the probability that the problem gets solved.
(a) 1/2 (b) 17/12 (c) 1/4 (d) 11/12
2 Two dice are tossed. The probability that the total score is a prime number is:
(a) 1 / 6 (b) 5 / 12 (c) 1 / 2 (d) 7 / 9
3 A drawer contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one of the item is chosen at random, the probability that it is rusted or a bolt is
(a) 5/8 (b) 1/2 (c) 3/8 (d) 1/8
4 A card is chosen from a well shuffled pack of 52 cards. What is the probability that the card chosen is a spade number
(a) ¼ (b) 2/13 (c)5/26 (d) 1/26
5 Two cards are drawn from a pack of cards in succession (with replacement). Find the probability that both are king.
(a)1/144 (b)1/169 (c)1/171 (d)1/2
6 The probability of a student possessing a Hi-Tech point pen is 3/5 and that of possessing a ball point pen is 2/3. Find the probability that a student can have atleast one type of pen.
(a) 3/5 (b) 2/5 (c) 13/15 (d) 1/15
7 When 3 coins are tossed together what is the probability of getting exactly 2 tails?
a) 3/8 b) 8/9 c) 2/3 d) None of these
8 If A speaks the truth 80 % of the times and B speaks the truth 60 % of the times. What is the probability that both speak the truth at the same time?
(a) 0.8 (b) 0.48 (c) 0.6 (d) 0.14
9 The probability that a computer company will get a computer hardware contract is 2/3, and the probability that it will not get a software contract is 5/9. If the probability of getting atleast one contract is 4/5, what is the probability that it will get both the contracts?
(a) 21 / 45 (b) 8 / 27 (c) 14 / 45 (d) 32 / 135
10 Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. The probability that the ticket has a number which is a multiple of 3 or 7 is
(a) 1/5 (b) 2/5 (c) 3/5 (d) 4/5
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