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 chose 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 at certain high school likes art = = 36%

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

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

As we know the formula for "Conditional Probability" :

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

Answer with explanation:

A= Art

S= Science

P(A)= 36%

P (A ∩ S)=21%

We have to find ,.

In terms of Percentage , Required Probability

= 58.34 %

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