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The chance that a fourth child of III–1 and III–2 is male, and affected with Tay Sachs disease, is: A - VCE - SSCE Biology - Question 6 - 2003 - Paper 1

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The chance that a fourth child of III–1 and III–2 is male, and affected with Tay Sachs disease, is: A. \( \frac{1}{8} \) B. \( \frac{1}{4} \) C. \( \frac{1}{2} \) D... show full transcript

Worked Solution & Example Answer:The chance that a fourth child of III–1 and III–2 is male, and affected with Tay Sachs disease, is: A - VCE - SSCE Biology - Question 6 - 2003 - Paper 1

Step 1

Determine the Probability of Being Male

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Answer

To find the chance that the child is male, we know that the probability of having a male child is ( \frac{1}{2} ).

Step 2

Determine the Probability of Being Affected by Tay Sachs Disease

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Answer

Tay Sachs disease is an autosomal recessive condition. If both parents are carriers (heterozygous), the probability of having an affected child is ( \frac{1}{4} ).

Step 3

Combine the Probabilities

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Answer

Since the events of being male and being affected by Tay Sachs are independent, we multiply the probabilities together:

[ P(Male ext{ and } Tay Sachs) = P(Male) \times P(Tay Sachs) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} ]

Step 4

Conclusion

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Answer

Thus, the chance that a fourth child of III–1 and III–2 is male and affected by Tay Sachs disease is ( \frac{1}{8} ). The correct answer is A.

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