Question

The probability that Christmas falls on a Thursday is 1/7. The probability that (the first night...

The probability that Christmas falls on a Thursday is 1/7. The probability that (the first night of) Hannukah falls on a Thursday is 1/7. If Hannukah falls on a Thursday, the probability that Christmas also falls on a Thursday is 1/8.

What is the probability that both of these holidays fall on a Thursday? Your answer will be a decimal between zero and one.

Math   Statistics-And-Probability   
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Answer #1

P(Christmas falls on a Thursday) = 1/7

P(Hannukah falls on a Thursday) = 1/7

P(Christmas also falls on a Thursday | Hannukah falls on a Thursday) = 1/8

or, P(Christmas and Hannukah both falls on Thursday) / P(Hannukah falls on a Thursday) = 1/8

or, P(Christmas and Hannukah both falls on Thursday) = (1/8) * P(Hannukah falls on a Thursday)

or, P(Christmas and Hannukah both falls on Thursday) = (1/8) * (1/7)

or, P(Christmas and Hannukah both falls on Thursday) = 1/56

or, P(Christmas and Hannukah both falls on Thursday) = 0.0179

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