Auden rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers rolled is greater than 5? Enter your answer as a simplified fraction.
Roll #1 Roll #2 Roll #3 Roll #4 Roll #5 Roll #6 Roll #7
5, 2 6, 5 3, 3 3, 2 6, 4 4, 3 3, 1
The experimental probability that the sum of the next two numbers rolled is more than 5 is
count the rolls
count the successes (roll > 5)
divide successes by rolls
To find the experimental probability, we need to determine the number of favorable outcomes and the total number of possible outcomes. In this case, the favorable outcomes are the number combinations where the sum of the next two numbers rolled is greater than 5.
We can go through each pair of numbers rolled and check if their sum is greater than 5:
Roll #1: 5 + 2 = 7 (sum is greater than 5)
Roll #2: 6 + 5 = 11 (sum is greater than 5)
Roll #3: 3 + 3 = 6 (sum is greater than 5)
Roll #4: 3 + 2 = 5 (sum is not greater than 5)
Roll #5: 6 + 4 = 10 (sum is greater than 5)
Roll #6: 4 + 3 = 7 (sum is greater than 5)
Roll #7: 3 + 1 = 4 (sum is not greater than 5)
Out of the 7 rolls, we have 5 favorable outcomes where the sum of the next two numbers rolled is greater than 5.
The total number of possible outcomes is 7, as there are 7 rolls.
So, the experimental probability is 5/7.