Question

Tiny pieces of chocolate are throughout this type of cookie.

A) Chocolate chip
B) Oatmeal raisin
C) Peanut butter
D) Ginger snap

Answer 1

The probability that a cookie contains chocolate or nuts is 40 percent. The probability that a cookie does not contain chocolate or nuts is 60 percent.

Step-by-step explanation:

To find the probability that a cookie contains chocolate or nuts, we can use the principle of inclusion-exclusion. First, let's find the probability that a cookie contains chocolate: 36 percent. Then, let's find the probability that a cookie contains nuts: 12 percent. However, we have to subtract the probability that a cookie contains both chocolate and nuts: 8 percent. So, the probability that a cookie contains chocolate or nuts is (36 + 12 - 8) percent, which is 40 percent.

To find the probability that a cookie does not contain chocolate or nuts, we need to find the complement of the previous probability. The complement of an event is equal to 1 minus the probability of that event. So, the probability that a cookie does not contain chocolate or nuts is 1 minus the probability that a cookie contains chocolate or nuts. Therefore, the probability that a cookie does not contain chocolate or nuts is (1 - 40) percent, which is 60 percent.