P(M) = probability of male and P(F) = probability of female. Which of the below

Question

P(M) = probability of male and P(F) = probability of female. Which of the below is/are complementary probabilities? May select none, 1 or more than one answer.

a. P(M and F) and P(not M or not F)

b. P(M or F) and P(not M or not F)

c. P(M or not F) and P(not M and F)

d. P(M and F) and P(not M and not F)

e. P(M or F) and P(not M and not F)

a. P(M and F) and P(not M or not F)

b. P(M or F) and P(not M or not F)

c. P(M or not F) and P(not M and F)

d. P(M and F) and P(not M and not F)

e. P(M or F) and P(not M and not F)

Explanation / Answer

P(M) = probability of male and P(F) = probability of female

Complementry probabilities sum up to 1

if P(M or F) exists, then it's complement is P(not M and not F)

thus E is correct

also, C is correct using similar logic

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