To find the probability of rolling an even number, then rolling a number that is not 2 on a number cube, we need to determine the number of favorable outcomes and the number of possible outcomes.
Step 1: Determine the number of possible outcomes:
When you roll a number cube, there are 6 possible outcomes since there are 6 sides on a number cube.
Step 2: Determine the number of favorable outcomes for the first event (rolling an even number):
Out of the 6 possible outcomes, there are 3 even numbers (2, 4, and 6).
Step 3: Determine the number of favorable outcomes for the second event (rolling a number that is not 2):
Since we have already rolled an even number, we can exclude the number 2 from the possible outcomes. Therefore, there are 5 possible outcomes for the second roll (1, 3, 4, 5, and 6), and 4 favorable outcomes (3, 4, 5, and 6).
Step 4: Calculate the probability:
To calculate the probability of both events occurring, we multiply the probabilities of each event together.
Thus, the probability of rolling an even number, then rolling a number that is not 2, is (3/6) * (4/5), which simplifies to 12/30.
Therefore, the probability is 12/30, and it can be further simplified to 2/5 in simplest form.