Question

According to a posting on a website subsequent to the death of a child who bit into a peanut, a certain study found that 4% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 43% had a history of severe reaction. (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

Answer 1

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

Explanation:

We are given these following probabilities:

4% probability of that a child younger than 18 in the United States has at least one food allergy.

If a child has at least one food allergy, 43% probability of having a history of severe reaction.

If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

The multiplication of the probabilities. So

0.04*0.43 = 0.0172

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction