SOLUTION: In a city,there's a 0,4 probability that it will rain.If it rains,there's a 0,8 prob of heavy traffic.If it doesnt rain,there's heavy traffic with 0,4 prob.If there's heavy traf,WH

Question 1027419: In a city,there's a 0,4 probability that it will rain.If it rains,there's a 0,8 prob of heavy traffic.If it doesnt rain,there's heavy traffic with 0,4 prob.If there's heavy traf,WHAT IS THE PROB THAT IT RAINS ??
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
P(R) = 0.4
P(T|R) = 0.8
P(T|R') = 0.4
P(R|T) = ???
Now P(T) = P(T∩R) + P(T∩R') = P(T|R)P(R) + P(T|R')P(R')
= 0.8*0.4 + 0.4*0.6 = 0.32 + 0.24 = 0.56
==> P(R|T) = P(R∩T)/P(T) = 0.32/0.56 = 4/7.
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