Use the Multiplication Rule for Independent Events
-A human gene carries a certain disease from the mother to the child with a probability rate of 46%. That is, there is a 46% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that all three of the children get the disease from their mother.
A) 0.097
B) 0.903
C) 0.157
D) 0.134

Question

Quizplus · Accepted Answer

The probability that all three children get the disease is found by multiplying the individual probabilities: $0.46 \times 0.46 \times 0.46 = 0.097336$, which rounds to 0.097.