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
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
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
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
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
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
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
ย 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
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
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
Answer: B
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