For diseases X, Y, and Z, if two carriers of the disease have a child, the child has a .25 chance of having the disease and .75 chance of not having the disease. Suppose two parents are carriers for all three diseases (X, Y and Z). The probability of inheriting any disease is independent of inheriting the other diseases. a) What is the probability that their first child does not have any of the diseases? b) What is the probability that their first child only has disease Y? c) What is the probability that their first child has two of three diseases?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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For diseases X, Y, and Z, if two carriers of the disease have a child, the child has a .25 chance of having the
disease and .75 chance of not having the disease. Suppose two parents are carriers for all three diseases (X,
Y and Z). The probability of inheriting any disease is independent of inheriting the other diseases.


a) What is the probability that their first child does not have any of the diseases?
b) What is the probability that their first child only has disease Y?
c) What is the probability that their first child has two of three diseases?

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