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)=
Theoretical probability is calculated by taking the number of favorable outcomes and dividing it by the number of possible outcomes.
For rolling a total of 7, there are 6 possible ways to achieve this: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
For rolling a total of 11, there are 2 possible ways to achieve this: (5,6) and (6,5).
Therefore, the total number of favorable outcomes is 6 (for rolling a total of 7) + 2 (for rolling a total of 11) = 8.
The total number of possible outcomes when rolling a pair of number cubes is 6 * 6 = 36.
Therefore, the theoretical probability of rolling a total of 7 or 11 is:
P(7 or 11) = number of favorable outcomes / number of possible outcomes
P(7 or 11) = 8 / 36
P(7 or 11) = 2 / 9
Therefore, the theoretical probability of rolling a total of 7 or 11 on a pair of number cubes from a single toss is 2/9.