Math Problem Statement

Follow the steps to find the probability a student is in sports, given they are a senior. First, find the probability that a student is a senior.

Solution

Step-by-Step Solution

To solve for the probability P(senior)P(\text{senior}), follow these steps:

  1. Find the total number of students: The table shows the total is 100 students.
  2. Find the total number of seniors: The table shows the total number of seniors is 35.
  3. Calculate P(senior)P(\text{senior}):

P(senior)=Number of seniorsTotal number of studentsP(\text{senior}) = \frac{\text{Number of seniors}}{\text{Total number of students}}

P(senior)=35100=0.35P(\text{senior}) = \frac{35}{100} = 0.35

Final Answer:

P(senior)=0.35P(\text{senior}) = 0.35

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Related Questions:

  1. What is the probability a student is in sports, given they are a senior?
  2. What is the probability that a randomly chosen student is in sports?
  3. How would you calculate the probability of being in drama, given they are a junior?
  4. What is the probability that a student is a sophomore?
  5. Can you describe the relationship between conditional and unconditional probabilities?

Tip: When solving probability questions, always confirm whether the problem asks for a conditional or unconditional probability to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Probability
Two-Way Tables
Conditional Probability

Formulas

P(senior) = Number of seniors / Total number of students

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 8-10