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A die is rolled. What is the probability of getting an even number?

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Question: A die is rolled. What is the probability of getting an even number?

Options:

  1. 1/2
  2. 1/3
  3. 1/6
  4. 2/3

Correct Answer: 1/2

Solution: 

Even numbers on a die: 2, 4, 6. Probability = 3/6 = 1/2.

A die is rolled. What is the probability of getting an even number?

Practice Questions

Q1
A die is rolled. What is the probability of getting an even number?
  1. 1/2
  2. 1/3
  3. 1/6
  4. 2/3

Questions & Step-by-Step Solutions

A die is rolled. What is the probability of getting an even number?
Correct Answer: 1/2
  • Step 1: Understand that a die has 6 sides, numbered from 1 to 6.
  • Step 2: Identify the even numbers on the die. The even numbers are 2, 4, and 6.
  • Step 3: Count the total number of even numbers. There are 3 even numbers (2, 4, 6).
  • Step 4: Count the total number of possible outcomes when rolling a die. There are 6 possible outcomes (1, 2, 3, 4, 5, 6).
  • Step 5: Calculate the probability of rolling an even number. Probability = (Number of even outcomes) / (Total outcomes) = 3/6.
  • Step 6: Simplify the fraction 3/6 to get 1/2.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Even Numbers – In the context of a standard die, the even numbers are 2, 4, and 6.
  • Sample Space – The set of all possible outcomes when rolling a die, which includes the numbers 1 through 6.
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