Solve the Problem, Rounding the Answer as Appropriate $50 \%$ Of Females Are Pure Dominant

Multiple Choice

Solve the problem, rounding the answer as appropriate. Assume that "pure dominant" describes one who has twodominant genes for a given trait; "pure recessive" describes one who has two recessive genes for a given trait; and"hybrid" describes one who has one of each.
-In a population, $50 \%$ of females are pure dominant, $40 \%$ are hybrid, and $10 \%$ are pure recessive. If a pure recessive male mates with a random female and their first offspring has the dominant trait, what is the probability that the female is pure dominant?

A) .50
B) .75
C) .56
D) .34