Final answer:
There are 3 favorable outcomes for rolling an even number and 0 favorable outcomes for rolling a number greater than 10. Hence, the probability is 1/2 or 0.5.
Step-by-step explanation:
To find the probability of rolling an even number or a number greater than 10 when rolling two dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are 6 possible outcomes when rolling a single die: {1, 2, 3, 4, 5, 6}.
For the first condition, rolling an even number, we have three favorable outcomes: {2, 4, 6}.
For the second condition, rolling a number greater than 10, there are no favorable outcomes since the largest number on a die is 6.
Since there are no overlapping outcomes, we can add the number of favorable outcomes for each condition and divide by the total number of possible outcomes:
P(even or > 10) = (3 + 0) / 6
= 3/6
= 1/2
= 0.5