Question

What is the probability that a student eye color would be blue if their grade in physics is A? A two way table is presented below which depicts the distribution of eye color and grades in Physics for a group of students.
Hair Color\Grade. A. B. C
Blue. 32. 60. 30
Brown 58. 50. 68

Answer 1

The correct answer is:

16/45.

Explanation:

We want the probability that a student's eye color is blue if they made an A in physics.  This means we look at the column for students with an A.

There are 32 students with blue eyes in the A column.

This is out of 32+58=90 students that made an A.

This makes the probability 32/90, which simplifies to 16/45.