PROBABILITY MCQ SET 7
1. A bag contains 6 red balls , 4 green balls and 8 yellow balls . Three balls are drawn at random from the bag . What is the probability that two balls are red and one ball is green ?
(a) 5/68
(b) 3/68
(c) 7/68
(d) 9/68
Answer: A
2. A bag contains 4 white , 4 red and 2 green balls . Two balls are drawn at random . What is the probability that at least one ball is green?
(a) 16/45
(b) 12/45
(c) 21/35
(d) 17/45
Answer: D
3. A bag contains 3 red , 6 white and 7 black balls . Three balls are drawn at random , then find the probability that all the three balls are black?
(a) 1/8
(b) 7/40
(c) 1/16
(d) 13/40
Answer: C
4. A basket contains three blue and four red balls . If three balls are drawn at random from the basket , what is the probability that all three are either blue or red?
(a) 1
(b) 1/7
(c) 3/14
(d) 3/28
Answer: B
5. A box contains 5 green , 4 yellow and 3 white marbles . Three marbles are drawn at random . What is the probability that they are of the same colour?
(a) 41/40
(b) 52/55
(c) 3/55
(d) 3/44
Answer: D
6. A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective . If we choose two fruits at random . What is the probability that either both are oranges or both are non defective ?
(a) 136/345
(b) 17/87
(c) 316/435
(d) 158/435
Answer: C
7. The probability of A and B clearing an exam is 2/3 an d3/4 respectively . What is the probability that atleast one of them clears the exam?
(a) 1/12
(b) 1/4
(c) 11/12
(d) 1/2
ย Answer: C
8. A problem is given to three students whose chances of solving it are 1/2 , 1/3 and 1/4 respectively . What is the probability that the problem will be solved ?
(a) 1/4
(b) 1/2
(c) 3/4
(d) 7/12
Answer: C
9. The probability that three students A , B and C solve a problem are 3/7 , 5/9 and 1/5 respectively . What is the probability that the problem is solved ?
(a) 64/315
(b) 32/315
(c) 251/315
(d) 155/315
Answer: C
10. A man and his wife appear in an interview for two vacancies in the same post . The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5) . What is the probability that only one of them is selected ?
(a) 2/7
(b) 1/7
(c) 3/4
(d) 4/5
Answer: A
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