Probability

1

A man and his wife appear in an interview for two vacancies in he 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 us selected ?

A. `4/5`
B. `2/7`
C. `8/15`
D. `4/7`

2

A speaks truth in 75% cases and B in 80% of the cases . In what percentage of cases are they likely to contradict each other narrating the same incident ?

A. 5%
B. 15%
C. 35%
D. 45%

3

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`

4

In a class , 30% of the students offered English , 20%  offered Hindi and 10% offered both . If a student is selected at

random, what is the probability  that he has offered English or Hindi ?

A. `2/5`
B. `3/4`
C. `3/5`
D. `3/10`

5

A box contains 20 electric bulbs , out of which  4 are defective . Two bulbs are chosen at random from  this box.The probability  that at  least one of  these is defective is  :

A. `4/19`
B. `7/19`
C. `12/19`
D. `21/95`