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Two dice are rolled. What is the probability that the sum of the numbers on the

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Question: Two dice are rolled. What is the probability that the sum of the numbers on the dice is 7?

Options:

  1. 1/6
  2. 1/12
  3. 1/36
  4. 5/36

Correct Answer: 5/36

Solution: 

The combinations that give a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). There are 6 combinations out of 36 total outcomes, so the probability is 6/36 = 1/6.

Two dice are rolled. What is the probability that the sum of the numbers on the

Practice Questions

Q1
Two dice are rolled. What is the probability that the sum of the numbers on the dice is 7?
  1. 1/6
  2. 1/12
  3. 1/36
  4. 5/36

Questions & Step-by-Step Solutions

Two dice are rolled. What is the probability that the sum of the numbers on the dice is 7?
Correct Answer: 1/6
  • Step 1: Understand that we are rolling two dice, and each die has 6 faces with numbers from 1 to 6.
  • Step 2: Calculate the total number of possible outcomes when rolling two dice. Since each die has 6 faces, the total outcomes are 6 (from the first die) multiplied by 6 (from the second die), which equals 36.
  • Step 3: Identify the combinations of numbers on the two dice that add up to 7. These combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
  • Step 4: Count the number of combinations that give a sum of 7. There are 6 combinations.
  • Step 5: Calculate the probability by dividing the number of successful outcomes (6) by the total number of outcomes (36). This gives us 6/36.
  • Step 6: Simplify the fraction 6/36 to its lowest terms, which is 1/6.
  • Probability – Understanding the likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Combinatorics – The study of counting, arrangements, and combinations, particularly relevant in determining the number of ways to achieve a specific outcome with dice.
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