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college courses at a large university, the probability that a student takes calculus and is on the dean's list is 0.083. the probability that a student is on the dean's list is 0.23. find the probability that the student is taking calculus, given that he or she is on the dean's list. please round the final answer to 2 or 3 decimal places.



Answer :

The probability that the student is taking calculus and he or she is on the dean's list is 0.361.

From the data given in the question,

Let the probability that the student is on the dean's list be

P(Dean list) = 0.23

Let the probability that the student takes calculus and is also on the dean's list be

P(takes calculus and is on dean list) = 0.083

The probability that the student is taking calculus, given that he or she is on the dean's list can be calculated using the following equation.

P(of the student takes calculus given he or she is on the dean's) = P(takes calculus and on dean's list)/P(dean's list)

Hence;

P(of the student takes calculus given he or she is on the dean's) = 0.083÷0.23

Evaluating, the result is obtained as,

P(of the student takes calculus given he or she is on the dean's)) = 0.361

Hence, the required probability is 0.361

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https://brainly.com/question/2253959

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