Question

Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places.

Grades and Gender
A B C Total
Male 18 8 11 37
Female 14 7 9 30
Total 32 15 20 67

If one student is chosen at random,

a. Find the probability that the student got a B: Correct

b. Find the probability that the student was male AND got a "C": Correct

c. Find the probability that the student was male OR got an "A": Incorrect

d. If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are female: Correct
Check Answer Question 17

Answer 1

Answer: 0.7015

Explanation:

I assume you needed to fix question c?

c. Probability of being male OR getting an A:

We need to find the probability of (being male OR getting an A). However, we must account for the overlapping group of students who are male and got an A.

Number of male students who got an A = 18

Number of students who got an A = 32

Probability of being male OR getting an A = (Number of male students + Number of students who got an A - Number of male students who got an A) / Total number of students

Probability of being male OR getting an A = (18 + 32 - 18) / 67 ≈ 0.7015 (rounded to 4 decimal places)