Advance Math Model Questions Set 2 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The probability that the 13th day of a randomly chosen month is a Friday, is

a) $1/7$

b) $1/{84}$

c) $1/{12}$

d) $1/{13}$

Question : 2

Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?

a) 10

b) 9

c) 5

d) 15

Question : 3

A programmer noted the results of attempting to run 20 programs. The results showed that 2 programs ran correctly in the first attempt, 7 ran correctly in the second attempt, 5 ran correctly in the third attempt, 4 ran correctly in the fourth attempt and 2 ran correctly in the fifth attempt. What is the probability that his next programme will run correctly on the third run ?

a) $1/3$

b) $1/6$

c) $1/4$

d) $1/5$

Question : 4

There are 6 different letters and 6 correspondingly addressed envelopes. If the letters are randomly put in the envelopes, what is the probability that exactly 5 letters go into the correctly addressed envelopes ?

a) $1/6$

b) $1/2$

c) Zero

d) $5/6$

Question : 5

If A and B are two independent events and P(C) = 0, then A, B, C are :

a) dependent

b) not pairwise independent

c) independent

d) none of the above.

Question : 6

A Chartered Accountant applies for a job in two firms X and Y. The probability of his being selected in firm X is 0.7 and being rejected at Y is 0.5 and the probability of atleast one of his applications being rejected is 0.6. What is the probability that he will be selected in one of the firms ?

a) 0.8

b) 0.4

c) 0.2

d) 0.7