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Suppose the probability of a student takes AP Calculus as is on the honor roll is 0.0035, and the probability that a student is on the honor roll is 0.23. Find the probability that a student takes AP Calculus given that he or she is on the honor roll.

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Taskmastersid
Find the probability of the students that took the calculus can be on the honor roll.
0.0035 => probability of students that take the AP Calculus
0.23 => probability of the students that can be on the honor roll

Let’s find the solution:
x = probability of the students that took the calculus can be on the honor roll.
=>  x = 0.0035 / 0.23
=>  0.015
Thus, there is 0.015 probability that the students who took the AP Calculus can be on honor roll.





TSOid
This is a question about conditional probability.

[tex]P(B|A) = \frac{P(AandB)}{P(A)}[/tex]

[tex]P(AP~calc|Honor~roll) = \frac{P(AP~calc~and~honor~roll)}{P(honor~roll)}= \frac{0.0035}{0.23}\approx0.015[/tex]

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