Giving a test to a group of students, the grades and gender are summarized below Grades and Gender A В Total Male 13 17 11 41 Female 3. 20 10 33 Total 16 37 21 74 If one student is chosen at random, find the probability that the student was male AND got a "C". Round your answer to 4 decimal places.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![**Transcription for Educational Website:**
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**Student Test Results by Grade and Gender**
The results of a test given to a group of students are summarized below, detailing the distribution of grades among male and female students.
| Grades and Gender | A | B | C | Total |
|-------------------|----|----|----|-------|
| Male | 13 | 17 | 11 | 41 |
| Female | 3 | 20 | 10 | 33 |
| Total | 16 | 37 | 21 | 74 |
**Graph/Diagram Explanation:**
The table above categorizes the students based on their gender (Male and Female) and the grades they received (A, B, or C). The "Total" column and row represent the sum of students for each gender and grade category, respectively.
**Problem:**
If one student is chosen at random, determine the probability that the student is male and received a grade of "C". Express your answer to four decimal places.
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This setup provides a clear representation of the students’ performance distributed by gender and specific grades, along with a probability problem for further analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24b8115f-9a19-47b6-814b-3be924127cef%2F46fdeca4-b293-4753-935a-62fdf19cefa7%2Fxg9rbth_processed.jpeg&w=3840&q=75)
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