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?
1/6
1/12
1/36
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.
