1. ## probability being late

The probability that James is late for school on normal days is 0.01 .However , the probability that James is late for school on a rainy day is 0.02 . The probability that it would rain on Monday is 0.005 .What would be the probability that James would be late on Monday ?

2. Originally Posted by thereddevils
The probability that James is late for school on normal days is 0.01 .However , the probability that James is late for school on a rainy day is 0.02 . The probability that it would rain on Monday is 0.005 .What would be the probability that James would be late on Monday ?
$R^c$ means it does not rain.
$P(L)=P(L\cap R)+P(L\cap R^c)=P(L|R)P(R) + P(L|R^c)P(R^c)$.