Question

A number cube is rolled what is P (3 or an even number)?

Answer 1

or just you have 4 winners out of 6 sides
4/6 or 2/3

Answer 2

There are six possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6. Of these outcomes, three are even (2, 4, 6) and one is 3.

Therefore, the probability of rolling a 3 or an even number is:

P(3 or even) = P(3) + P(even) - P(3 and even)
P(3 or even) = 1/6 + 3/6 - 0
P(3 or even) = 4/6 or 2/3

So the probability of rolling a 3 or an even number is 2/3.

Answer 3

Yes, that's correct. You can also look at it as having 4 favorable outcomes out of the total 6 possible outcomes, so the probability is 4/6 or 2/3.