Question

A box of jerseys for a pick-up game of basketball contains 8 extra-large jerseys, 6 large jerseys, and 4 medium jerseys. If you are first to the box and grab 3 jerseys what is the probability that you randomly grab 3 extra-large jerseys? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

Given:

A box of jerseys for a pick-up game of basketball contains:

8 extra-large jerseys,

6 large jerseys,

4 medium jerseys.

The total number of jerseys = 8 + 6 + 4 = 18

So, the probability to grab 3 extra-large jerseys will be =

`(8)/(18)=(2\cdot4)/(2\cdot9)=(4)/(9)`

We can exoress the answer as a decimal rounded to the nearest millinth : 0.444444