Question

The manager decides to put some snack mix out on the bar. One of the workers suggests he remove one ingredient so there will be no potential issue with allergens. The manager eliminates​ __________.

a. Nuts
b. Pretzels
c. Chocolate
d. Raisins

Answer 1

The manager should eliminate raisins from the snack mix. The probability of a cookie containing chocolate or nuts is 0.4. Sean can eat cookies that do not contain chocolate or nuts.

Step-by-step explanation:

The manager should eliminate raisins from the snack mix.

To solve this problem, we can use the concept of probability. Let A represent the event that a cookie contains chocolate and B represent the event that a cookie contains nuts. Based on the information given, P(A) = 0.36, P(B) = 0.12, and P(A ∩ B) = 0.08.

To find the probability that a cookie contains chocolate or nuts (he can't eat it), we use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Therefore, P(A ∪ B) = 0.36 + 0.12 - 0.08 = 0.4. Since Sean is allergic to both chocolate and nuts, he can't eat cookies with either ingredient, so the manager should remove an ingredient, which is raisins.