(a) All four children develop Tay-Sachs disease. (b) Only one child develops Tay-Sachs disease. (c) The third child develops Tay-Sachs disease, given that the first two did not.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers
and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events? (Round your answers to four decimal places.)
(a) All four children develop Tay-Sachs disease.
(b) Only one child develops Tay-Sachs disease.
(c) The third child develops Tay-Sachs disease, given that the first two did not.
Transcribed Image Text:Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events? (Round your answers to four decimal places.) (a) All four children develop Tay-Sachs disease. (b) Only one child develops Tay-Sachs disease. (c) The third child develops Tay-Sachs disease, given that the first two did not.
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