The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow.   A B C Total Male 7 11 2 20 Female 5 12 14 31 Total 12 23 16 51 Find the probability that a randomly selected student was male given that the student earned a grade of 'A'. Hint: Use conditional probability.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 13 7 4 24 Female 12 17 9 38 Total 25 24 13 62 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got an 'A'.

Giving a test to a group of students, the grades and gender are summarized below   A B C Total Male 18 10 12 40 Female 7 15 20 42 Total 25 25 32 82 If one student is chosen at random,Find the probability that the student was male GIVEN they got a 'C'.

A B C Total Male 14 18 12 44 Female 6 3 8 17 Total 20 21 20 61 Find the probability that the student was male OR got an "A"

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 13 18 4 35 Female 5 3 11 19 Total 18 21 15 54 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'B'.

Giving a test to a group of students, the grades and gender are summarized below   A B C Total Male 6 8 3 17 Female 12 5 16 33 Total 18 13 19 50 If one student is chosen at random,Find the probability that the student was male GIVEN they got a 'A'.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 2 15 3 20 Female 14 8 18 40 Total 16 23 21 60 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'A'.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 5 2 9 16 Female 13 18 14 45 Total 18 20 23 61 If one student is chosen at random from those who took the test,Find the probability that the student got a 'A' GIVEN they are male.

A test was given to a group of students. The grades and gender are summarized below A B C Total Male 15 14 4 33 Female 7 19 13 39 Total 22 33 17 72 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female.