What is the probability of rolling a sum of 7 with two dice?

Practice Questions

Q1
What is the probability of rolling a sum of 7 with two dice?
  1. 1/6
  2. 1/12
  3. 1/36
  4. 5/36

Questions & Step-by-Step Solutions

What is the probability of rolling a sum of 7 with two dice?
  • Step 1: Understand that we are rolling two dice, each die has 6 sides.
  • Step 2: Calculate the total number of possible outcomes when rolling two dice. This is 6 (from the first die) multiplied by 6 (from the second die), which equals 36.
  • Step 3: Identify the combinations of 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 of rolling a sum of 7. This is the number of successful outcomes (6) divided by the total outcomes (36).
  • Step 6: Simplify the fraction 6/36 to get 1/6.
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