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powerball lottery. 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 ticket, select five numbers from the digits 1 through and then select a powerball number from the digits 1 through 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 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 with a powerball number of 10 provided the record jackpot of billion (powerball website). a. 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.) b. what is the
a.
Obtain the total number of outcomes in the Powerball lottery.
It is given that there are 69 white balls, each numbered from 1 to 69, and 26 red balls, each numbered from 1 to 26.
The participant has to choose 5 white balls out of 69 white balls, and 1 red ball out of 26 red balls.
The number of ways to choose 5 white balls out of 69 white balls is calculated as follows:
The number of ways to choose 1 red ball out of 26 red balls is 26.
The total number of outcomes in the Powerball lottery is calculated as follows:
Thus, the total number of outcomes in the Powerball lottery is 292,201,338.
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