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7.6 Probability with Permutations and Combinations
Feeding arrangement and selection counts into the favorable-over-total ratio, the usual route to lottery, card-hand, and committee questions.
Contemporary Mathematics, 7.6 Probability with Permutations and Combinations
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2 exercises
7.6 Exercise 1
- In horse racing, an exacta bet is one where the player tries to predict the top two finishers in particular race in order. If there are 9 horses in a race, and a player decided to make an exacta bet at random, what is the probability that they win?
- You are in a club with 10 people, 3 of whom are close friends of yours. If the officers of this club are chosen at random, what is the probability tha…
2.5
7.6 Exercise 3
- Palmetto Cash 5 is a game offered by the South Carolina Education Lottery. Players choose 5 numbers from the whole numbers between 1 and 38 (inclusive); the player wins the jackpot of $100,000 if the randomizer selects those numbers in any order. If you buy one ticket for this game, what is the probability that you win the top prize by choosing all 5 winning numbers?
- There’s a second prize in the…
2.5
Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.