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प्रश्न
A computer software company is bidding for computer programs A and B. The probability that the company will get software A is `3/5`, the probability that the company will get software B is `1/3`, and the probability that the company will get both A and B is `1/8`. What is the probability that the company will get at least one software?
उत्तर
Let A be the event that the company will get software A.
∴ P(A) = `3/5`
Let B be the event that the company will get software B.
∴ P(B) = `1/3`
Also, P(A ∩ B) = `1/8`
∴ P(the company will get at least one software)
= P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= `3/5 + 1/3 - 1/8`
= `(72 + 40 - 15)/120`
= `97/120`
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