Applications With Probability: Apply It 2

Unlocking the Lottery: Exploring Probability and Expected Value in a Game of Chance Cont.

Calculating the probability of winning a lottery game can be an exciting venture. Regardless of whether you are playing a traditional scratch–off game or an online game, the chances of winning can be determined with some simple calculations. Knowing the probability of winning can be beneficial in selecting the lottery game that best fits your chances of success.

Counting

Permutations

Powerball is a lottery game played in [latex]44[/latex] states across the United States. The objective of the game is to pick five numbers from [latex]1–69[/latex] (the white balls) and one number from [latex]1–26[/latex] (the red Powerball) to create a winning combination.

Combinations

Expected Value