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?
1/6
1/12
1/36
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.
