| The probability that John Doe is called to serve on a committee is .45. The probability that Jane Doe is called to serve on the same committee is .25. The probability that neither is called to serve on the committee is .45. What is the probability that both are called to serve on the committee? | | |
| The probability that John Doe is called to serve on a committee is .45. The probability that Jane Doe is called to serve on the same committee is .25. The probability that neither is called to serve on the committee is .45. What is the probability that both are called to serve on the committee? | | |
P(John Doe) = 0.45
P(Jane Doe) = 0.25
P(John Doe or Jane Doe) = 1 - 0.45 = 0.55
P(John Doe or Jane Doe) = P(John Doe) + P(Jane Doe) - P(John Doe and Jane Doe)
or, P(John Doe and Jane Doe) = P(John Doe) + P(Jane Doe) - P(John Doe or Jane Doe)
or, P(John Doe and Jane Doe) = 0.65 + 0.25 - 0.55 = 0.35
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