Answer: 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%.