If two dice are rolled, what is the probability that the sum is 7?
Practice Questions
1 question
Q1
If two dice are rolled, what is the probability that the sum is 7?
1/6
1/12
1/36
5/36
Possible combinations for sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.
Questions & Step-by-step Solutions
1 item
Q
Q: If two dice are rolled, what is the probability that the sum is 7?
Solution: Possible combinations for sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.
Steps: 6
Step 1: Understand that when two dice are rolled, each die has 6 faces, numbered 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 = 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. These combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Step 4: Count the number of combinations that result in a sum of 7. There are 6 combinations.
Step 5: Calculate the probability of rolling a sum of 7. Probability = (Number of favorable outcomes) / (Total outcomes) = 6 / 36.
Step 6: Simplify the fraction 6/36 to get the final probability. 6/36 = 1/6.
