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.Com
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) (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?
---------------------------
P(falling) = P(falling when raining) + P(falling when not raining)
---------
= 0.1*0.25 + 0.1*0.75
-----
= 0.025 + 0.075
-----
= 0.1
===============
Cheers,
Stan H.
===============
RELATED QUESTIONS
The probability of it raining tomorrow is 0.12. For the day after, the chance of it not... (answered by Boreal)
Write each of the following in symbolic form if p is the statement “It is raining” and q... (answered by kaijah8,richwmiller,brooks)
When it is not raining, the probability of the Buchanan Bears winning a football game... (answered by stanbon)
The velocity of a falling object is a linear function of the time t it has been... (answered by ichudov)
The velocity of a falling object is a linear function of the time t it has been falling. (answered by dkspoet)
The probability of fog is .75 and the probability of rain is .5 what is the probability... (answered by Fombitz)
Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, (answered by ikleyn)
The probability of rain is 0.1. The probability of sun is 0.8,
and the probability of a... (answered by math_tutor2020)
The distribution below is not a probability distribution for which of the following... (answered by Fombitz)