Question

The probability that it'll rain tomorrow in Ohio is 30%

The probability that it'll rain tomorrow in both Ohio and Alaska is 12%
If it rains tomorrow in Ohio what is the probability that it will rain tomorrow in Alaska?

Answer 1

It raining in Alaska and raining in Ohio are independent events. One does not control the other or affect the other in any way.

For two independent events (let's call them A and B), the Probability of A and B both occurring is given by P(A and B) = P(B) x P(B).

For this problem, let A = rain in Ohio and B= rain in Alaska.

P(A and B) = P(A) x P(B)

`(12)/(100) =(P(A))( (3)/(10) )`

`( (12)/(100)) ( (100)/(30) )=P(A)`

`P(A)= (12)/(30)= (2)/(5)`