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The probability of team A, B and C in winning a volleyball competition is 1/3, 1/9 and 1/5 respectively. What is the probability that team A or B will win? (Show your solutions.)
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Sagot :

Akornsunaidn

Answer:

4/9

Step-by-step explanation:

P(A) = Probability that team A wins the volleyball competition = (1 / 3)

P(B) = Probability that team B wins the volleyball competition = (1 / 9)

P(C) = Probability that team C wins the volleyball competition = (1 / 5)

As, the sum of their probabilities of winning the competition is still short of 1; so, there must be more teams in the competition.

Assuming that there is no provision for joint winners in the competition; it can be said that, A, B, C, …….. all are mutually exclusive events. Thus, (A Ω Β) = (A Ω C) = (B Ω C) = …….. = Φ (Νull set).

So, P(A Ω Β) = 0.

The answer will be P(A union B) = P(A U B) = P(A) + P(B) - P(A Ω Β) = (1 / 3) + (1 / 9) - 0 = (4 / 9) ≈ 0.4444.