Two six-sided number cubes are rolled. Which event is more likely?

Question

Event 1: rolling two even numbers
Event 2: rolling two sixes

Answer 1

Event 1 (rolling two even numbers) is more likely.

In the case of Event 1, there are three outcomes on each number cube that would result in an even number: 2, 4, and 6. Therefore, there are a total of 3 x 3 = 9 outcomes that would result in two even numbers being rolled.

In the case of Event 2 (rolling two sixes), there is only one outcome on each number cube that would result in a six being rolled. Therefore, there is only 1 x 1 = 1 outcome that would result in two sixes being rolled.

Since Event 1 has 9 possible outcomes compared to Event 2's 1 possible outcome, Event 1 (rolling two even numbers) is more likely to occur.