<PRE><B>Question 705771</B>
A mountain climber has a 0.1 probability of falling off if it is raining and only 0.02 when it is not. The probability of it raining in the climbing season is 0.25. 
What is the probability (in a fraction) of the mountain climber falling off on a day chosen at random?
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P(falling) = P(falling when raining) + P(falling when not raining)
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= 0.1*0.25 + 0.1*0.75
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= 0.025 + 0.075
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= 0.1
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Cheers,
Stan H.
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