Question: Every day, John buys a lottery ticket with the number 777 for the lottery described in Example. He has played 999 times and has never won. He reasons that since tomorrow will be his 1000th time and the probability of winning is 1/1000, he will have to win tomorrow. Explain whether John's reasoning is correct.
Example: A Simple Lottery A lottery game that is run by many states in the United States is one in which players choose a three-digit number between 000 and 999. A player wins if his or her three-digit number is chosen. If we assume that the physical mechanism that is used to draw the winning number gives each possibility an equal chance, we can determine the probability of winning.