SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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       Log On


   



Question 705771: 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?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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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