counting

Question

A man and a woman appear in an interview for two vacancies for the same post. The probability
of a man’s selection is 1/4 and that of a woman’s selection is 1/3. What is the probability that
both of them will be selected?
(a) 1/12 (b) 1/3
(c) 2/5 (d) 3/7

Comments

a ) should be ans ?/

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yeah , A is the answer

Answer 1

The probability of a man’s selection is 1/4  so , p( not selection ) = 3/4

 woman’s selection is 1/3  so p(not selection)= 2/3

so both will not be selected = 2/3*3/4 = 1/2

so both will be selected = 1-1/2 = 1/2

option A ) should be the ans

Answer 2

The probability of a man’s selection p = 1/4

The probability of a man’s  not selection q = 1- 1/4 = 3/4

The probability of a woman’s selection P = 1/3 

The probability of a woman’s not  selection Q = 1 - 1/3 = 2/3

probability of none selection of both of them = P*Q = 3/4 * 2/3  = 1/2 

the probability that both of them will be selected  = 1 - probability of none of them will be selected = 1 - 1/2
                                                                                     = 1/2            Ans