Question

Overtired and under stress from his holiday orders, the chocolatier could not decide whether to envelope the pretzels in dark chocolate or almond bark?

1) Dark chocolate
2) Almond bark

Answer 1

The probability that a cookie contains either chocolate or nuts is 40%, while the probability that a cookie contains neither, making it safe for Sean to eat, is 60%.

Step-by-step explanation:

The subject at hand is a problem related to probability, which falls under the category of mathematics. Specifically, we're tasked with determining the likelihood that a cookie in a given assortment contains either chocolate, nuts, or both, which are hazards for Sean who is allergic. We are given that 36% of cookies contain chocolate, 12% contain nuts, and there is an 8% chance that a cookie contains both.

To find the probability of a cookie having chocolate or nuts, we can use the formula: P(A or B) = P(A) + P(B) - P(A and B). Substituting the given percentages:

P(Chocolate or Nuts) = P(Chocolate) + P(Nuts) - P(Chocolate and Nuts) = 36% + 12% - 8% = 40%.

Consequently, the probability of a cookie not containing either chocolate or nuts, and thus safe for Sean to eat, can be found by subtracting this result from 100%:

P(Neither Chocolate Nor Nuts) = 100% - P(Chocolate or Nuts) = 100% - 40% = 60%.