Question

A box of jerseys for a pick up game of basketball contains 8 extra large jerseys, 6 large jerseys and 5 medium jerseys. if you are first to the box and grab 2 jerseys, what is the probability that you randomly grad 2 large jerseys? express your answer as a fraction

Answer 1

The box of jerseys contains :

8 extra-large jerseys

6 large jerseys

5 medium jerseys

Total of jerseys in the box = 19 jerseys

You are the first, therefore the box has all the jerseys.

Now, you grab 2 jerseys.

The odds that the first jersey is extra large is given by the formula:

`p=\frac{\#\text{ of large jerseys}}{\text{Total of jerseys}}`

So the probability for the first jersey is:

`p=(6)/(19)`

For the second jersey, we already take out one jersey from the box:

Therefore, now the total of jerseys is 18 in the box.

We assume that the jersey one is large, therefore, now we have 5 large jerseys.

Use the same probability formula to find the second jersey:

`p2=(5)/(18)`

Finally, to find the probability that you randomly grad 2 large jerseys, you just need to multiply both probabilities:

`p\cdot p2=(6)/(19)\cdot(5)/(18)=(6\cdot5)/(19\cdot18)`
`p\cdot p2\text{ =}(5)/(57)`