Chapter 8, Problem 2EAGP1

To determine

To calculate: The probability of winning the original 5 – of – 45 game and that of winning 2015 5 – of – 69 games. The comparison of original game and 2015 Powerball games is given in the table below:

$\begin{array}{ccc}\text{Types of games}& \text{Original Powerball}& \text{2015 Powerball}\\ \text{Game}& 5-\text{of}-45& 5-\text{of}-69\\ \text{Powerballs}& 1-\text{of}-45& 1-\text{of}-26\end{array}$

And table is:

$\begin{array}{ccc}\text{match}& \text{original game payout}& \text{2015 game payout}\\ 5+\text{powerball}& \text{jackpot}& \text{jackpot}\\ 5& \$100,000& \$1000000\\ 4+\text{powerball}& 5000& 50,000\\ 4& 100& 100\\ 3+& 100& 100\\ 3& 5& 7\\ 2+& 5& 7\\ 1+& 2& 4\\ \text{powerball}& 1& 4\end{array}$