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the probability that it is raining is .25. the orbability that it is windy is .30. if it is windy, the
probability that it is raining is .40. what is the probabilty that it is raining and windy? assume that
the events raining and windy are not independent.
Solution
Let R denote the event of raining and W that of winding.
Given, P(R)=.25
P(W)=.3
and P(R|W) = .4
We know P(R|W) = P(RW) /P(W)
=> P(RW) = P(R|W)*P(W)
=>P(RW)=P(It is raining and windy)=(.4)*(.3)=0.12

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the probability that it is raining is .25. the orbability that it is.pdf

  • 1. the probability that it is raining is .25. the orbability that it is windy is .30. if it is windy, the probability that it is raining is .40. what is the probabilty that it is raining and windy? assume that the events raining and windy are not independent. Solution Let R denote the event of raining and W that of winding. Given, P(R)=.25 P(W)=.3 and P(R|W) = .4 We know P(R|W) = P(RW) /P(W) => P(RW) = P(R|W)*P(W) =>P(RW)=P(It is raining and windy)=(.4)*(.3)=0.12