According to a July 31, 2013, posting on cnn.com sub-sequent to the death of a child who bit into a peanut, a 2010 study in the journal Pediatrics found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 39% 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? b. It was also reported that 30% of those with an allergy in fact are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probability that he or she is allergic to multiple foods?

Answer : Step 1 of 2 : Given, According to a July 31, 2013, posting on cnn.com sub-sequent to the death of a child who bit into a peanut, a 2010 study in the journal Pediatrics found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 39% had a history of severe reaction a) 8% of children younger than 18 in the United States have at least one food allergy = 0.08 39% had a history of severe reaction = 0.39 The claim is to find the probability that he or she has at least one food allergy and a history of severe reaction Use the multiplication rule for two events P(AB) = P(A) P(B) where , P(A) = 0.08 and P(B) = 0.39 Then, P(AB) = 0.08*0.39 = 0.312