A lottery game is set up so that each player chooses five different numbers from 1 to 20. If the five numbers match the five numbers drawn in the lottery, the player wins (or shares) the top cash prize. What is the probability of winning the prize Solve, a. with one lottery ticket? b. with 100 different lottery tickets?
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With one lottery ticket: There are a total of 20 numbers to choose from, and we need to choose 5 of them. This can be done in $\binom{20}{5}$ ways. Since there is only one winning combination, the probability of winning with one ticket is the ratio of the winning Show more…
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