Probability of Winning the Second Prize in the State Lottery

Explore the likelihood of winning the second prize in the state lottery through this tutorial. We delve into the mechanics of the lottery, where six numbers are drawn from a pool of 48 balls, and winning requires matching five of the chosen numbers. Through a step-by-step explanation, we compute the probability of winning the $1,000 second prize with a single lottery ticket purchase. Whether you're a lottery player or interested in probability analysis, this video provides valuable insights into understanding your chances of winning secondary prizes in lottery games. Join us to uncover the probability of winning big!

The problem we solve in this video is:
In the state lottery from the previous example, if five of the six numbers drawn match the numbers that a player has chosen, the player wins a second prize of $1,000. Compute the probability that you win the second 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.