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Work and Weather The probability that Mike has to work
Chapter 4, Problem 33CQ(choose chapter or problem)
Problem 33CQ
Work and Weather The probability that Mike has to work overtime and it rains is 0.028. Mike hears the weather forecast, and there is a 50% chance of rain. Find the probability that he will have to work overtime, given that it rains.
Questions & Answers
QUESTION:
Problem 33CQ
Work and Weather The probability that Mike has to work overtime and it rains is 0.028. Mike hears the weather forecast, and there is a 50% chance of rain. Find the probability that he will have to work overtime, given that it rains.
ANSWER:
Solution:
Step 1 of 2:
Let us denote the event A = the rain
Let the event B = mike has to work overtime
And let the = overtime and rain
Then,
P(A) = 0.5
P() = 0.028.
Here we need to find the probability that he will have to work overtime, given that it rains.