We have 7 men who are candidates for a position and 4 women who are candidates f

Question

We have 7 men who are candidates for a position and 4 women who are candidates for the position. 12) Referring to Position, if we randomly select 3 of the 11 candidates for position, what is the probability that all three are men? 13) Referring to Position, if we randomly select 3 of the candidates from the group of 11, what is the probability that 2 men and one woman will be selected? 14) Referring to Position, if we randomly select 3 individuals for the position, what is the expected number of men? 15) Suppose that we have events A and B so that P(A)=0.3 and P(B) = 0.4. Find P(A or B), if P(A|B)-0.2

Explanation / Answer

we have 7 men , 4 women
selecting 3 candidates from 11 is = nCr(11,3)
Q12.
selection is made such a way all are men = nCr(7,3)
probability of all 3 are men = nCr(7,3)/nCr(11,3) =0.21212

Q13.
selection is made such a way 2 are men and one women= nCr(7,2) * nCr(4,1)
probability of 2 are men, 1 women= nCr(7,2)* nCr(4,1)/nCr(11,3) = 0.84848

Q14.
expected no.of men = mean = 3 * 7/11 = 1.9090 ~ 2

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