Question

If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''

Answer 1

0.03333 or 1/30

Explanation:

Let A =" I go sailing" and B = "it does not rain"

P(A) = 0.03

P(B) =0.90

Since I never go sailing when it rains, P(A and B) =0.03.

Therefore, the (conditional) probability that I go sailing, given that it does not rain is:

`P(A|B)=(P(A\ and\ B))/(P(B)) \\P(A|B)=(0.03)/(0.90)=0.033333`

The probability is 0.03333 or 1/30.