The probability that a student at certain high school likes art is 36%. the probability that a student who likes art also likes science is 21%. find the probability that a student chosen at random likes science given that he or she likes art. round to the nearest tenth of a percent.

Probability that a student chosen at random likes science given that he or she likes art is 58%

Step-by-step explanation:

Since we have given that

Probability that a student who likes art and science = 21%

Probability that a student who likes art = 36%

According to question,

we need to find the probability that a student chosen at random likes science given that he or she likes art.

So, we will use "Conditional Probability":

P(A) = 0.36

P(S ∩ A) = 0.21

Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.

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