Probability MCQ Set 8

PROBABILITY MCQ SET 8

1. A brother and a sister appear for an interview against two vacant posts in an office . The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3 . What is the probability that only one of them is selected ?

(a) 1/5

(b) 3/4

(c) 2/5

(d) 3/5

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Answer: C

2. A speaks truth in 75% of cases and B in80% of case . What is the probability that they likely to contradict each other , narrating the same incident .

(a) 3/10

(b) 7/20

(c) 9/20

(d) 1/2

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Answer: B

3. A speaks the truth in 60% cases which B speaks the truth in 40% of the cases . What is the probability that they will contradict each other in a case?

(a) 16/25

(b) 13/25

(c) 1

(d) 12/25

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Answer: B

4. A speaks the truth 5 out of 7 times and B speaks truth 8 out of 9 times . What is the probability that they contradict each other in starting the same fact?

(a) 1/7

(b) 1/9

(c) 1/4

(d) 1/3

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Answer: D

5. Out of 17 applicants 8 boys and 9 girls . Two persons are to be selected for the job . Find the probability that at least one of the selected persons will be girl .

(a) 19/34

(b) 5/4

(c) 20/34

(d) 27/34

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Answer: D

6. Two friends Himanshu and Naman appeared in an exam . The probability that Himanshu will qualify the exam is 1/20 and Naman will qualify the exam is 1/10 . The probability that both will qualify the exam is 1/50 . Find the probability that only one of them qualify the exam .

(a) 11/100

(b) 12/100

(c) 15/111

(d) 14/112

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Answer: A

7. In a cricket world cup the probability that India will win the cup is 1/4 . The probability of Pakistan winning the cup is 1/5 and of Australia winning the cup is 1/6 . What is the probability that either of these 3 teams India , Pakistan and Australia would win the world cup?
(Note :- Only one team can win the cup .)

(a) 37/50

(b) 55/85

(c) 37/60

(d) 55/50

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 Answer: C

8. Two letters are chosen from English Alphabet . What is the probability that both are vowels .

(a) 1/65

(b) 2/65

(c) 3/65

(d) 4/65

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Answer: B

9. A word consists of 9 letters ; 5 consonants and 4 vowels . Three letters are chosen at random . What is the probability that more than one vowel will be selected?

(a) 13/42

(b) 17/42

(c) 27/42

(d) 37/42

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Answer: B

10. A letter is taken out at random from ‘ASSISTANT’ and another taken out from ‘STATISTICS’ . The probability that they are the same letters are :

(a) 35/96

(b) 19/90

(c) 19/96

(d) None of these

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Answer: B