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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?

Respuesta :

Thagie
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)
[tex] \frac{12}{100} =(P(A))( \frac{3}{10} ) [/tex]
[tex]( \frac{12}{100}) ( \frac{100}{30} )=P(A)[/tex]
[tex]P(A)= \frac{12}{30}= \frac{2}{5} [/tex]

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