Question

Of the 318 sophomores, 140 are taking algebra 2 and 102 are taking chemistry. of those that are taking chemistry, 76 are not taking algebra 2. if a sophomore is chosen at random, find the probability that they are taking algebra 2, if it is known that they take chemistry.

Answer 1

The probability that the sophomores are taking algebra 2 is equal to 0.63.

How to find the probability?

In order to determine the probability that the sophomores are taking algebra 2, we would calculate the number of sophomores that takes algebra 2 but not chemistry and those that do not take chemistry.

For algebra 2 but not chemistry, we have:

Algebra 2 but not chemistry = 140 - 76

Algebra 2 but not chemistry = 64.

For those not taking chemistry, we have:

Not taking chemistry = 318 - 102

Not taking chemistry = 216.

Now, we can find the probability that the sophomores are taking algebra 2:

P(A) = 64/102

P(A) = 32/51

P(A) = 0.63.

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