QuestionFind the probability that a student studies daily given they passed the math test: .
Studdy Solution
STEP 1
Assumptions1. Let be the event that a randomly chosen student passes a math test. . Let $$ be the event that a randomly chosen student studies every day.
STEP 2
The problem is asking for the probability that a student studies every day, given that the student passes a math test. This is a conditional probability, which is typically denoted as , where and are events, and is the probability of event occurring given that event has occurred.
STEP 3
In this case, we are looking for the probability that a student studies every day ($$) given that the student passes a math test ($M$). So, we can express this as $(S|M)$.
STEP 4
So, the answer which expresses the following with correct notation The probability that a randomly chosen student studies every day, given that the student passes a math test is .
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