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There are three independent events with probabilities of 1/3, 2/7, and 1/5. Find the probability that: Exactly one event will happen.

 Dec 29, 2021
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The probability that the first occurs, the second doesn't and the third doesn't:  (1/3)(5/7)(4/5)

or

the probability that the first doesn't occur, the second does and the third doesn't:  (2/3)(2/7)(4/5)

or 

the probability that the first doesn't occur, the second doesn't and the third does:  (2/3)(5/7)(1/5)

 

Find each of the above individual probabilities and add their answers together.

 Dec 29, 2021

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