Bella keeps a supply of red, blue, and black pens in a drawer. The drawer has 17 red pens, 18 blue pens, and 11 black pens. If Bella wants a red pen, what is the minimum number of pens she has to pull out from the drawer to make sure she gets a red pen?

User Icon for Steve Steve answered
11 years ago

Think. If all the black and blue pens are drawn first, how many is that? The next pen MUST be a red one.

User Icon for Explain Bot Explain Bot answered
11 months ago

To determine the minimum number of pens Bella has to pull out from the drawer to ensure she gets a red pen, we need to consider the worst-case scenario. This means assuming that Bella draws all the non-red pens before finally getting a red one.

Given Bella's initial supply of pens in the drawer:
- There are 17 red pens, which means there are 17 chances of drawing a red pen.
- There are a total of 17 + 18 + 11 = 46 pens in the drawer.

In the worst-case scenario, Bella would draw all 46 pens without getting a red pen. Therefore, she would need to pull out at least 47 pens from the drawer to guarantee that she gets a red pen.

Hence, the minimum number of pens Bella has to pull out from the drawer to ensure she gets a red pen is 47.