Giving a test to a group of students, the grades and gender are summarized below



A

B

C

Total

Male

5

15

7

27

Female

3

8

11

22

Total

8

23

18

49


If one student is chosen at random,

Find the probability that the student was male AND got a "B". Write your answer as a reduced fraction.

P(male and "B")=

To find the probability that a student was male and got a "B," we will use the formula for probability:

\[
P(\text{male and "B"}) = \frac{\text{Number of males who got a "B"}}{\text{Total number of students}}
\]

### Step-by-Step Solution:
1. Number of males who got a "B" = 15
2. Total number of students = 49

So, the probability is:

\[
P(\text{male and "B"}) = \frac{15}{49}
\]

The fraction \(\frac{15}{49}\) is already in its simplest form, so the final answer is:

\[
P(\text{male and "B"}) = \frac{15}{49}
\]

Would you like further details, or do you have any questions?

Here are five related questions to explore:

1. What is the probability of selecting a student who is female and got a "C"?
2. What is the probability that a student got a grade of "A"?
3. If a student is chosen randomly, what is the probability that the student is male?
4. What is the probability that a student chosen randomly got a "B"?
5. What is the probability that a student chosen at random is female?

**Tip:** When dealing with probability, always ensure fractions are reduced to their simplest form to make interpretation easier.

If one student is chosen at random, find the probability that the student was male AND got a 'B'. Write your answer as a reduced fraction.

Find the probability that a student chosen at random from a group of 49 students is a male who received a 'B'. Learn the step-by-step solution using basic probability formulas. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation