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The Powerball lottery is played twice each week in 44 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 69, and then select a Powerball numbe

The Powerball lottery is played twice each week in 44 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 69, and then select a Powerball number from the digits 1 through 26. To determine the winning numbers for each game, lottery officials draw 5 white balls out a drum of 69 white balls numbered 1 through 69 and 1 red ball out of a drum of 26 red balls numbered 1 through 26. To win the Powerball jackpot, a participant’s numbers must match the numbers on the 5 white balls in any order and must also match the number on the red Powerball. The numbers 4–8–19–27–34 with a Powerball number of 10 provided the record jackpot of $1.586 billion (Powerball website).

  1. How many Powerball lottery outcomes are possible? (Hint: Consider this a two-step random experiment. Select the 5 white ball numbers and then select the 1 red Powerball number.)

  2. What is the probability that a $2 lottery ticket wins the Powerball lottery?


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The Powerball lottery is played twice each week in 44 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 69, and then select a Powerball numbe
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