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 hat?

Answer 1

Step-by-step

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%

Hopefully this helps!