Calculate the theoretical probability of rolling a total of 7 or 11 on a pair of number cubes from a single toss.(1 point)
P(7 or 11)
To calculate the theoretical probability of rolling a total of 7 or 11 on a pair of number cubes from a single toss, we first need to determine the number of favorable outcomes and the total number of possible outcomes.
When rolling a pair of number cubes, there are a total of 6 x 6 = 36 possible outcomes (since each cube has 6 sides).
To get a total of 7 or 11, we can have the following outcomes:
- Rolling a 1 and a 6
- Rolling a 2 and a 5
- Rolling a 3 and a 4
- Rolling a 4 and a 3
- Rolling a 5 and a 2
- Rolling a 6 and a 1
So, there are a total of 6 favorable outcomes.
Therefore, the theoretical probability of rolling a total of 7 or 11 on a pair of number cubes from a single toss is:
P(7 or 11) = Number of favorable outcomes / Total number of possible outcomes
P(7 or 11) = 6 / 36
P(7 or 11) = 1/6
Therefore, the probability of rolling a total of 7 or 11 on a pair of number cubes from a single toss is 1/6.