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What is the probability of getting a sum of 7 when two dice are rolled?

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Question: What is the probability of getting a sum of 7 when two dice are rolled?

Options:

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

Correct Answer: 1/6

Solution: 

The possible outcomes for a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) which gives us 6 favorable outcomes. Total outcomes when rolling two dice = 6 * 6 = 36. Therefore, P(sum of 7) = 6/36 = 1/6.

What is the probability of getting a sum of 7 when two dice are rolled?

Practice Questions

Q1
What is the probability of getting a sum of 7 when two dice are rolled?
  1. 1/6
  2. 1/12
  3. 1/36
  4. 1/3

Questions & Step-by-Step Solutions

What is the probability of getting a sum of 7 when two dice are rolled?
  • Step 1: Understand that we are rolling two dice, and each die has 6 faces numbered from 1 to 6.
  • Step 2: Calculate the total number of outcomes when rolling two dice. Since each die has 6 faces, the total outcomes = 6 (for the first die) * 6 (for the second die) = 36.
  • Step 3: Identify the combinations of the two dice that add up to 7. The combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
  • Step 4: Count the number of favorable outcomes that give a sum of 7. There are 6 combinations that result in a sum of 7.
  • Step 5: Calculate the probability of getting a sum of 7. Probability (P) = Number of favorable outcomes / Total outcomes = 6 / 36.
  • Step 6: Simplify the fraction 6/36 to get 1/6.
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