Question

Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n

Answer 1

Following are solutions to the given question:

Explanation:

First-test probability:
`(3)/(4)`

A person's chances of passing a second test are reduced if he fails the first test:
`(1)/(3)`

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

`\to (1)/(4)* (1)/(3)=(1)/(12)\\\\\to (3)/(4) + (1)/(12) = (9+1)/(12) = (10)/(12) = (5)/(6)`

One of the other.