## anonymous one year ago A teacher designs a test so a student who studies will pass 85% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 86% of the tests taken. On a given test, what is the probability that student passes? FINITE MATH

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1. amistre64

what is our sample space of events?

2. amistre64

study, and pass or not study, and pass

3. amistre64

how do we calculate the probability of each event in the sample space?

4. kropot72

This can be solved by the use of a probability tree: |dw:1443932148840:dw| $\large P(S \cap P)=0.86\times0.85$ $\large P(NS \cap P)=0.14\times0.11$ The required probability is therefore given by: $\large P(S\cap P)+P(NS \cap P)=you\ can\ calculate$