SOLUTION: Powerball is a lottery in which most U.S. states participate. To play, you pay $2 and choose five white numbers between 1 and 69. Then you choose a single red ball, the Powerball,

Question 1152972: Powerball is a lottery in which most U.S. states participate. To play, you pay $2 and choose five white numbers between 1 and 69. Then you choose a single red ball, the Powerball, from a second set of numbers that range from 1 to 26. To win the Powerball jackpot, you must match all five white numbers, plus the Powerball number. Like other lottery games, varying amounts of money can also be won by matching fewer numbers, allowing for nine different ways to win a Powerball prize. Here are the different ways.
• 5 white + Powerball = Powerball jackpot prize, $40 million minimum (Probability of winning: 1 in 292 million)
• 5 white = $1 million prize (Probability of winning: 1 in 11.7 million)
• 4 white + Powerball = $10,000 prize (Probability of winning: 1 in 913 thousand)
• 4 white = $100 prize (Probability of winning: 1 in 37 thousand)
• 3 white + Powerball = $100 prize (Probability of winning: 1 in 14 thousand)
• 3 white = $7 prize (Probability of winning: 1 in 580)
• 2 white + Powerball = $7 prize (Probability of winning: 1 in 701)
• 1 white + Powerball = $4 prize (Probability of winning: 1 in 92)
• Powerball DISABLED_event_only= $4 prize (Probability of winning: 1 in 38)
The Powerball jackpot starts at $40 million and increases after each drawing with no Powerball jackpot hit. The largest Powerball jackpot on record (as of 2016) is $1.586 billion, won in January 2016 and split by three tickets.
How many possible combinations of five numbers chosen from 1 through 69 are there?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
that is 69C5 or 69!/64!5!=11,238,513
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