The probability that the persons P1 and P2 will die in a year are p and q respectively. The probability that at the end of the year only one of them will be alive, is equal to:
A
p + q - pq
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B
p+q−p2−q2
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C
p + q - 2pq
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D
pq (p + q - pq)
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Solution
The correct option is C p + q - 2pq P (only one of P1 or P2) =P(P1)+P(P2)−2P (P1 and P2) = p + q – 2pq.