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