Question

There are 7 yellow, 5 green, and 3 blue party hats in a bag. you randomly choose a yellow party hat and put it on. then your friend randomly chooses a yellow party hat. what is the probability of both of you choosing a yellow party hat?

Answer 1

7 yellow, 5 green, 3 blue...total of 15

P(yellow party hat) = 7/15
do not replace
P(yellow hat) = 6/14

P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%