## Educational Exercise: Probability with Grades and Gender### Grades DistributionThe table below summarizes the grades and gender distribution of students:| Grades and Gender | A | B | C | Total ||-------------------|----|----|----|-------|| Male | 14 | 17 | 4 | 35 || Female | 9 | 8 | 12 | 29 || Total | 23 | 25 | 16 | 64 |### Probability QuestionsConsider the following probability questions based on the table above:1. **Find the probability that the student got a B.** 2. **Find the probability that the student was female AND got a C.**3. **Find the probability that the student was female OR got an A.**4. **If one student is chosen at random, find the probability that the student was male GIVEN they got an A.**### Details- The total number of students is 64.- The table shows how student grades (A, B, C) are distributed between males and females. Please compute each probability and write your answers rounded to four decimal places.Submit your answers through the provided form. Points possible: 1. This is attempt 1 of 3.

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If one student is chosen at random, a. Find the probability that the student got a B: b. Find the probability that the student was female AND got a "C": c. Find the probability that the student was female OR got an "A":

If one student is chosen at random, a. Find the probability that the student got a B: b. Find the probability that the student was female AND got a "C": c. Find the probability that the student was female OR got an "A":

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

## Educational Exercise: Probability with Grades and Gender

### Grades Distribution

The table below summarizes the grades and gender distribution of students:

| Grades and Gender | A | B | C | Total |
|-------------------|----|----|----|-------|
| Male | 14 | 17 | 4 | 35 |
| Female | 9 | 8 | 12 | 29 |
| Total | 23 | 25 | 16 | 64 |

### Probability Questions

Consider the following probability questions based on the table above:

1. **Find the probability that the student got a B.**

2. **Find the probability that the student was female AND got a C.**

3. **Find the probability that the student was female OR got an A.**

4. **If one student is chosen at random, find the probability that the student was male GIVEN they got an A.**

### Details

- The total number of students is 64.
- The table shows how student grades (A, B, C) are distributed between males and females.

Please compute each probability and write your answers rounded to four decimal places.

Submit your answers through the provided form. Points possible: 1. This is attempt 1 of 3.

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