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Two buses A and B are scheduled to arriv...

Two buses A and B are scheduled to arrive at a town central bus station at noon. The probability A will be late is `1/5`. The probability that bus B will be late is `7/25`. The probability that the bus B is late given that bus A is late is `9/10`. Then the probabilities:
(a) probability that neither bus will be late on a particular date is `7/10`
(b) probability that bus A is late given that bus B is late is `9/14`

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