Concept explainers
The Powerball lottery is played twice each week in 31 states, the District of Columbia, and the Virgin Islands. To play Powerball, a participant must purchase a $2 ticket, select five numbers from the digits 1 through 59, and then select a Powerball number from the digits 1 through 35. To determine the winning numbers for each game, battery officials draw five white balls out a drum of 59 white balls numbered 1 through 59 and one red ball out of a drum of 35 red balls numbered 1 through 35. To win the Powerball jackpot, a participant's numbers must match the numbers on the five white balls in any order and must also match the number on the led Powerball. The numbers 5-16-22-23-29 with a Powerball number of 6 provided the record jackpot of $580 million (Powerball website, November 29, 2012).
a.How many Powerball lottery outcomes are possible? (Hint: Consider this a two-step experiment. Select the five white ball numbers and then select the one red Powerball number.)
b.What is the probability that a $2 lottery ticket wins the Powerball lottery?
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