Question

A box of jerseys for a pick-up game of basketball contains 8 extra-large jerseys, 7 large jerseys, and 4 medium jerseys. If you are first to the box andgrab 2 jerseys, what is the probability that you randomly grab 2 medium jerseys? Express your aanswer as a fraction in lowest terms or a decimalrounded to the nearest millionth.

Answer 1

2/57

or

0.0351

Since there are 19 total jerseys, the probability of grabbing a medium jersey the first time is 4 out of 19. This means that there is now one less jersey in the box, and we are assuming that the first one that was grabbed was a medium size. Therefore, the probability of grabbing a medium jersey the second time becomes 3 out of 18. We can multiply the probability of both events to find the probability of randomly grabbing 2 medium jerseys.

(4 / 19) * (3 / 18) = 2 / 57