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Q.

A husband and wife have normal vision. Both his father and her father are red-green colour-blind.. What is the probability that their first child to be a:

(a) son with normal vision

(b) son with colour blindness

(c) daughter with normal vision

(d) daughter with colour blindness

 (a)(b)(c)(d)
(1)1414120
(2)1414140
(3)14141414
(4)1201414

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a

2

b

1

c

3

d

4

answer is A.

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Detailed Solution

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The woman is a carrier since her father is colour-blind.
Diagram

Description automatically generated

Half of the sons are colour-blind. Both normal daughters (XCXC) and carrier daughters (XCXc) have normal vision. None of the daughters will be colour-blind.

Probability of their first child to be a son is 12.

Probability of their first child to be a daughter is 12.

Probability of their first child to be a normal son is 12×12=14.

Probability of their first child to be a colour-blind son is 12×12=14.

Probability of their first child to be a daughter with normal vision is 12×1=12.

Probability of their first child to be a colour-blind daughter  is 12×0=0.

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A husband and wife have normal vision. Both his father and her father are red-green colour-blind.. What is the probability that their first child to be a:(a) son with normal vision(b) son with colour blindness(c) daughter with normal vision(d) daughter with colour blindness (a)(b)(c)(d)(1)1414120(2)1414140(3)14141414(4)1201414