Mathematics
In a match between A and B;
(i) the probability of winning of A is 0.83. What is the probability of winning of B?
(ii) the probability of losing the match is 0.49 for B. What is the probability of winning of A?
Probability
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Answer
(i) Since,the match is between A and B.
∴ Probability of losing of A = Probability of winning of B
We know that,
⇒ Probability of winning of A + Probability of losing of A = 1 (As winning and loosing of A are complimentary events)
⇒ Probability of winning of A + Probability of winning of B = 1
⇒ 0.83 + Probability of winning of B = 1
⇒ Probability of winning of B = 1 - 0.83 = 0.17
Hence, probability of winning of B = 0.17
(ii) Since,the match is between A and B.
∴ Probability of winning of A = Probability of loosing of B
Probability of winning of A = 0.49
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