SOLUTION: At a college, 55% of the students pass Math, 70% pass Biology, and 25% pass both of these courses. If a student is selected at random, Find the probability that a student passes Ma

Question 1115286: At a college, 55% of the students pass Math, 70% pass Biology, and 25% pass both of these courses. If a student is selected at random, Find the probability that a student passes Math given that he passed Biology.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

In order for to make the situation maximally obvious/visible/tangible, imagine the equivalent formulation.



    There are 100 students; 55 of them passed Math; 70 passed Biology, and 25 passed both.

    Find the ratio of those who passed Math given that they passed Biology.



I do not need explain to you that this ratio is   - it is self-evidently.


Answer.  The probability under the question is   =  = 35.71%

RELATED QUESTIONS
At a college, 60% of the students pass Spanish, 70% of the students pass Science, and 30% (answered by solver91311)

60 students pass the maths exam and 50 pass the english exam. 10 students pass in neither (answered by robertb)

Please solve this question for me. Thank you! A student is taking two courses,... (answered by user_dude2008)

4. Thirty percent of students at a local college take statistics. Ninety percent of the... (answered by ewatrrr)

A student is taking two courses, history and math. The probability the student will pass... (answered by ikleyn)

This quarter, there is a 50% chance that Jason will pass accounting, a 60% chance the he... (answered by stanbon,ikleyn,greenestamps)

Class records at Rockwood College indicate that a student selected at random has... (answered by imarina0019)

Class records at Rockwood College indicate that a student selected at random has... (answered by ikleyn)

Anne is taking two courses, art and philosophy. Student records indicate that the... (answered by ewatrrr)