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If the probabilities that A&B will die within a year are x & y respectively, then the probability that exactly one of them will be alive at the end of the year is
  • a)
    x + y – 2xy
  • b)
    xy
  • c)
    (1–x)(1–y)
  • d)
    1–xy
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the probabilities that A&B will die within a year are x & y...
P (A will die within a year) = x
P (B will die within a year) = y
∴ P (Exactly one of them will be alive at the end of the year)
= P (A is alive & B is dead)+ P (A dies B is alive)

(As these are independent events)
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