Question

There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip? 6

Answer 1

Answer:

A

Step-by-step explanation:

So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.

The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.

The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.

So, the probability of pulling a chocolate chip cookie consecutively is:

$\frac{1}{4}\cdot\frac{1}{5}=\frac{1}{20}$

Our answer is A :)