Question

You have 15 cookies. 7 are chocolate chip, 5 are sugar cookies, and 3 are snickerdoodles. You choose one, eat it, and then choose another. What is the probability that you will choose a choc chip cookie, eat it, and then choose another choc chip cookie?

Answer 1

Explanation:

you will have diabetes

Answer 2

20%

Explanation:

Let's break this down into simpler terms.

We know that:

There are 15 total cookies.

7 of them are chocolate chip.

Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.

In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.

Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.

In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.

Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).

Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.

Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.