Math Problem Statement

Give an example in which the same event can occur through two or more outcomes. Choose the correct answer below.

A.

Suppose you roll a​ fair, six-sided die. The possible events are rolling the number​ 1, 2,​ 3, 4,​ 5, or 6. The outcome of rolling an even number will occur with the three events​ 2, 4, and 6.

B.

Suppose you roll a​ fair, six-sided die. The possible events are rolling the number​ 1, 2,​ 3, 4,​ 5, or 6. The outcome is the number that is rolled.

C.

Suppose you roll a​ fair, six-sided die. The possible outcomes and events are rolling the number​ 1, 2,​ 3, 4,​ 5, or 6.

D.

Suppose you roll a​ fair, six-sided die. The possible outcomes are rolling the number​ 1, 2,​ 3, 4,​ 5, or 6. The event of rolling an even number will occur with the three outcomes​ 2, 4, and 6.

Solution

The correct answer is:

A.

Explanation: In this example, the event of rolling an even number can occur through multiple outcomes, specifically the outcomes 2, 4, and 6. This demonstrates how the same event (rolling an even number) can occur through different specific results (outcomes).

Would you like more details or have any questions?

Here are 5 related questions to think about:

  1. What is the probability of rolling an even number with a fair six-sided die?
  2. How does the probability change if we want to roll a number greater than 4?
  3. Can you give another example of an event with multiple outcomes using two dice?
  4. How would you calculate the probability of rolling an odd number?
  5. What is the difference between an event and an outcome in probability?

Tip: Events are often collections of outcomes that share a specific property, like rolling an even number or rolling a number greater than 4.

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Math Problem Analysis

Mathematical Concepts

Probability
Outcomes and Events

Formulas

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8

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