Advance Math Model Questions Set 2 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1

The probability that at least one of the events A and B occurs is 0.7 and they occur simultaneously with probability 0.2. Then P($\ov{A}$) + P($\ov{B}$) =

a) 0.6

b) 1.1

c) 1.8

d) 0.4

Question : 2

The number of ways of choosing a committee of 2 women and 3 men from 5 women and 6 men, if Mr. A refuses to serve on the committee if Mr. B is a member and Mr. B can only serve, if Miss C is the member of the committee, is

a) 84

b) 124

c) 60

d) None of these

Question : 3

The probabilities of four cricketers A, B, C and D scoring more than 50 runs in a match are $1/2 , 1/3 , 1/4$ and $1/{10}$ . It is known that exactly two of the players scored more than 50 runs in a particular match. The probability that these players were A and B is

a) $5/6$

b) $1/6$

c) ${27}/{65}$

d) None of these

Question : 4

Each of two women and three men is to occupy one chair out of eight chairs, each of which numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then the three men would occupy any, three chairs out of the remaining six chairs. What is the maximum number of different ways in which this can be done ?

a) 132

b) 1440

c) 40

d) 3660

Question : 5

A man and his wife appear for an interview for two posts. The probability of the husband's selection is $1/7$ and that of the wife's selection is $1/5$ . The probability that only one of them will be selected is

a) $4/{35}$

b) $6/{35}$

c) $6/7$

d) $2/7$