Question

Ethan rolls a 6-sided die. What is the probability that he gets a number greater than 4 or an even number?

Answer 1

Well,

The probability will be the number of favorable outcomes over the total number of outcomes.

The number of favorable outcomes will be the numbers greater than 4 (5,6) and the even numbers (2,4,6).  So the favorable outcomes are 2,4,5, and 6.  That is 4 total.

$\frac{4}{6} \ or\ \frac{2}{3}$

Answer 2

Getting a number greater than 4 means getting 5 or 6
Getting an even number means getting 2,4 or 6
Hence there are 4 favorable cases out of 6 possible cases, and the probability is 4/6=2/3.