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In Melbourne, we expect it will rain one day in a fortnight on average. Melbourne weather...

In Melbourne, we expect it will rain one day in a fortnight on average. Melbourne weather forecasters correctly predict fine weather 85% of the time and correctly predict rain 75% of the time.

(a) What is the probability that the weather forecasters will forecast rain?

(b) What is the probability that it will rain when the forecasters have predicted rain?

Please explain why and how you get the result. Thanks so much.

Math   Statistics-And-Probability   
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