A single fair 6sided die is tossed Find the odds in favor of

A single, fair 6-sided die is tossed. Find the odds in favor of rolling a 2,5, or 6. What are the odds in laws of rolling a 2, 5, or 6? To (Simplify your answer.)

Solution

The most important thing to know about this is that the die is fair. This means that each side is equally likely to be rolled. There are 6 sides. Each side then has a 1/6 chance of being rolled. The chance of rolling a 1 is 1/6, rolling a 2 is 1/6, rolling a 5 is 1/6, and rolling a 6 is 1/6. Add these all up and you will get 3/6. This can be reduced to 1/3.

The other way of looking at this is looking at all possible outcomes and seeing which are favorable. When the die is rolled, there are 6 possible outcomes. Of the 6 outcomes 3 are favorable, 2,5,6. This gives you 3/6 or reduced, 1/3.