Probability of Winning the Million-Dollar Lottery Prize

Join us as we explore the probability of winning the million-dollar prize in a state lottery. In this tutorial, we analyze the mechanics of the lottery, where 48 balls are placed in a machine and six of them are drawn at random. Through a systematic explanation, we elucidate how to compute the probability of winning the grand prize with a single lottery ticket purchase. Whether you're a lottery enthusiast or interested in probability theory, this video provides valuable insights into understanding probabilities in lottery games. Tune in to learn about your chances of hitting the jackpot!

The problem we solve in this video is:
In a certain state's lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are drawn at random. If the six numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in doesn’t matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket.

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Original text from Math in Society by David Lippman.