A father had three sons namely, Kailash, Harish and Prakash. All are above 65 years in age. Prakash happens to be the eldest while Kailash as…

CA Foundation · Quantitative Aptitude · PYQS · May 2025
A father had three sons namely, Kailash, Harish and Prakash. All are above 65 years in age. Prakash happens to be the eldest while Kailash as youngest. As per the health history, it is estimated that the probability that Kailash survives another 5 years is 4 / 5 , Harish survives another 5 years is 3 / 5 and Prakash survives another 5 years is 1 / 2 . The probabilities that Kailash and Harish survive another 5 years is 0.46, Harish and Prakash survive another 5 years is 0.32 and Kailash and Prakash survive another 5 years is 0.48. The probability that all three sons survive another 5 years is 0.26. What shall be the probability that at least one of them survives another 5 years?
(A) A. 0.78
(B) B. 0.72
(C) C. 7 / 10
(D) D. 9 / 10

Suggested Answer and Working Notes:

Correct Answer: Option (D)

D. 9 / 10

Topics: Part-C: Statistics

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