The lottery. Many people spend a lot of money trying to win huge jackpots in state lotteries. Let’s play a simpli-fied version using only the numbers from 1 to 20. You bet on three numbers. The state picks five winning numbers.If your three are all among the winners, you are rich!a) Simulate repeated plays. How long did it take youto win?b) In real lotteries, there are many more choices (often54) and you must match all five winning numbers.Explain how these changes affect your chances ofhitting the jackpot.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.