# The records of Midwestern university show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed math and physics. If a...

The records of Midwestern university show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed math and physics.

If a student failed physics, what is the probability that he failed mathematics?

If a student failed mathematics, waht is the probability that he failed physics?

What is the probabilityhe failed mathematics and physics?

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### 2 Answers

The records of Midwestern university show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed both math and physics.

If a student fails physics, the probability that he failed mathematics is 9/27 = 1/3

If a student fails mathematics the probability that he failed physics is 9/38.

The probability that a student fails both in math as well as physics is 9%.

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Thank you very much. I appreciate your help.

At Midwestern university in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed math and physics.

If the number of students studying in the university is taken to be 100, 38 students failed in mathematics, 27 failed in physics and 9 failed in both math and physics.

If it is known that a student failed in physics, they are part of a group that has 27 members, of these 9 failed in mathematics. This gives the probability that the student failed in mathematics as 9/27 = 1/3

If a student failed mathematics, they are part of group with 38 members of which 9 failed in physics. The probability that he failed in physics is 9/38.

The probability that a student failed mathematics and physics is given in the question as 9%