SOLUTION: A group of people has 9 males and 3 females. Find the probability that the first randomly selected person is female and the second is female again. (you cannot select the same

Algebra ->  Probability-and-statistics -> SOLUTION: A group of people has 9 males and 3 females. Find the probability that the first randomly selected person is female and the second is female again. (you cannot select the same      Log On


   

Question 946784: A group of people has 9 males and 3 females.
Find the probability that the first randomly selected person
is female and the second is female again.
(you cannot select the same female again).
Use formula for P(A and B), simplify final fraction.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes
MM MF
FM FF
P=1%2F4
.
.
.
A - first choice is female.
B - second choice is female.
Since A and B are independent and P%28A%29=P%28B%29=1%2F2, then
P%28A_and_B%29=P%28A%29%2AP%28B%29=%281%2F2%29%281%2F2%29=1%2F4