Simulate according to the following scenario:

1. A person buys a lottery ticket each week. The ticket price is $2. The person selects five numbers from 1 through 69.

2. Generate the 5 winning numbers (the state numbers) randomly

3. Calculate the prize for each play according to the following Power Ball Prizes table.

4. Continue for 30 years.

5. Calculate the total prize after 30 years

6. Calculate the probability of winning the jackpot (match all 5 number) at least once in 30 years.

7. Draw your conclusion.

($2) POWER BALL Prizes
Match	Prize
5 of 5	$1,000,000
4 of 5	$100
3 of 5	$7
<=2 of 5	$0