Tate has bag of golf balls 3 red, 5 blue, 2 yellow, and 2 green. What is the probability that he pulls out a red one, replaces it, and then pulls out another red one?

1 Answer
Nov 3, 2016

#3/12 xx 3/12 = 1/16#

Explanation:

There are 12 golf balls, of which 3 are red.

The probability of drawing a red = #3/12#

The fact that the ball was replaced, means that the probability for drawing a red a second time is still #3/12#

#P(R R) = P(R) xx P(R)" "larr# read 'TIMES' as 'AND'

=# 3/12 xx 3/12 = 1/4xx1/4 =1/16#