Question

Conditional Probability: A city council consists of 6 Democrats, two of whom are women, and 6 republicans, 4 of whom are men. A member is chosen at random. If the member chosen is a man, what is the probability that he is a democrat?

Answer 1

6 democrats: 2 women, 4 men

6 republicans: 4 men, 2 women

Answer 2

how many men are there total

Answer 3

i think just 4

Answer 4

there are

4 men (democrats) + 4 men (republicans) = 8 men total

Answer 5

so the probability of picking a democrat, given the choice is a male, is 4/8 = 1/2

Answer 6

oh thank you

Answer 7

yw