Question

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?

Answer 1

`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`