Question

A junk drawer contains an assortment of pushpins. There are 15 blue pushpins and 15 yellow pushpins. If two pushpins of the same color are pulled from the drawer, what is the probability that the third pushpin selected is the same color? Round your probability to 4 decimal places. Answer:

Answer 1

46.4286%

Step-by-step explanation:

We know that we have

15 blue pens

15 yellow pens

Now, let us say that we randomly picked two pens and both of them turned out to be yellow. Our box now has 2 fewer pens; therefore, the total number of pens we now have is

15 + 15 - 2 = 30 - 2 = 28 pens

Now, out of these 28 pens, the number of yellow pens I have is 15 - 2 = 13 yellow pens.

Therefore, if I again randomly picked up a pen from the drawer, the probability that it would be a yellow pen is

`(13)/(28)*100\%=46.4286\%`

which is our answer!