Pennsylvania Lottery Probability played arole in the rigging of the April 24, 1980

Chapter 4, Problem 117

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Pennsylvania Lottery Probability played arole in the rigging of the April 24, 1980, Pennsylvaniastate lottery. To determine each digit of the three-digitwinning number, each of the numbers 0, 1, 2, . . . , 9is written on a Ping-Pong ball, the 10 balls are blowninto a compartment, and the number selected for thedigit is the one on the ball that floats to the top of themachine. To alter the odds, the conspirators injected aliquid into all balls used in the game except thosenumbered 4 and 6, making it almost certain that thelighter balls would be selected and determine the digitsin the winning number. They then proceeded to buylottery tickets bearing the potential winning numbers.How many potential winning numbers were there(666 was the eventual winner)?

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