Ben rolls a standard number cube (sides labeled with numbers 1 through 6). Find the probability that Ben rolls a number greater than 2 or an even number.

the numbers possible which are greater than 2 OR even are

3,4,5,6
So the prob of your event = 4/6 = 2/3

forgot to include the 2, since it is even

so prob = 5/6

To find the probability, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.

First, let's determine the number of favorable outcomes:

1. Numbers greater than 2: There are four numbers greater than 2 on the standard number cube: 3, 4, 5, and 6.

2. Even numbers: There are three even numbers on the standard number cube: 2, 4, and 6.

Since the numbers 4 and 6 are counted in both categories, we need to subtract one from the total number of favorable outcomes:

Total number of favorable outcomes = 4 + 3 - 1 = 6

Now, let's calculate the total number of possible outcomes:

The number cube has 6 sides, so the total number of possible outcomes is 6.

Therefore, the probability of rolling a number greater than 2 or an even number is:

Probability = Total number of favorable outcomes / Total number of possible outcomes
Probability = 6 / 6
Probability = 1

So, the probability that Ben rolls a number greater than 2 or an even number is 1 or 100%.

To find the probability that Ben rolls a number greater than 2 or an even number, we first need to determine the total number of possible outcomes.

Since Ben is rolling a standard number cube, the cube has 6 sides numbered 1 through 6. Therefore, there are 6 possible outcomes.

Next, we need to determine the number of favorable outcomes - in this case, the number of outcomes that satisfy the condition of being greater than 2 or even.

1. Number greater than 2: We have four numbers greater than 2 - 3, 4, 5, and 6.
2. Even number: We have three even numbers - 2, 4, and 6.

To find the total number of favorable outcomes, we add the outcomes that satisfy each condition, but we need to make sure we are not counting the overlapping outcomes (in this case, the number 4 and 6).

So, we have 4 outcomes that are greater than 2, and when we subtract 2 and 6 from the results since they are also even, we get 2 outcomes.

Therefore, the total number of favorable outcomes is 4 + 2 = 6.

Finally, we can find the probability by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 6 / 6 = 1

So, the probability that Ben rolls a number greater than 2 or an even number is 1 or 100%.