Below is a two-way table for student activities:
Follow the steps to find the probability a student is in sports, given that they are a senior.
First, find the probability that a student is a senior.
[tex]P(\text { senior }) = [?][/tex]
Enter your answer in decimal form. Do not round.
Answer (2)
Find the total number of seniors: 35.
Find the total number of students: 100.
Calculate the probability: 100 35 .
The probability that a student is a senior is: 0.35 .
Explanation
Understand the problem We are given a two-way table that shows the distribution of students across different activities and grade levels. The problem asks us to find the probability that a student is a senior. To do this, we need to divide the number of seniors by the total number of students.
Identify the number of seniors and total students From the table, we can see that there are 35 seniors and a total of 100 students.
Apply the probability formula To find the probability of a student being a senior, we use the formula: P ( senior ) = Total number of students Number of seniors Substituting the values, we get: P ( senior ) = 100 35
Calculate the probability Now, we simplify the fraction to get the probability in decimal form: P ( senior ) = 0.35
State the final answer Therefore, the probability that a student is a senior is 0.35.
Examples
In a school, knowing the probability of students being in a particular grade can help in resource allocation. For example, if the probability of a student being a senior is 0.35, it indicates that 35% of the student population is in their senior year. This information can be used to plan for graduation ceremonies, college counseling services, and other senior-specific activities.
The probability that a student is a senior is calculated by dividing the number of seniors by the total number of students. In this example, with 35 seniors out of 100 students, the probability is 0.35. Thus, there is a 35% chance that a randomly selected student is a senior.
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