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In a school, 30 % of the students study math and science, 70 % of the students study science. What is the probability of students studying math, given that the student is already studying science.a42.8%42.8%b23.33%23.33%c40%40%d63.8%63.8%

Question

In a school, 30 % of the students study math and science, 70 % of the students study science. What is the probability of students studying math, given that the student is already studying science.a42.8%42.8%b23.33%23.33%c40%40%d63.8%63.8%

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Solution

The question is asking for the conditional probability of a student studying math given that they are already studying science. This is represented as P(Math|Science).

From the problem, we know that:

P(Math and Science) = 30% = 0.30 (the probability of a student studying both math and science) P(Science) = 70% = 0.70 (the probability of a student studying science)

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

Substituting the given values into the formula, we get:

P(Math|Science) = P(Math and Science) / P(Science) = 0.30 / 0.70 = 0.42857

Converting this to a percentage gives us 42.857%, so the answer is 42.8%.

This problem has been solved

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