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?
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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