In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. a) In an eight-horse field, how many different ways can one make a trifecta bet? b) In an eight-horse field, how many different ways can one make a box trifecta bet?

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

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Q: A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

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Q: What is the propbability of picking two spade cards or two face cards?

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Q: Based on the result, should bettors consider the post position of a horse race? O Yes O No

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Q: A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and 3¢…

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Q: in the word COPYRIGHTED, how many ways can you select three random letters?

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Q: how many five card poker hands consist of a four of a kind?

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Q: 2 Aces, 2 Jacks, and a red Queen?

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Q: Seven cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7, then shuffled, and two cards are…

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Q: When drawing a card from a deck, the P(king and hearts) is: O 1/12 1/52 O 1/13 O 1/4

A:

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Q: The four players in a bridge game are each dealt 13 cards. How many ways are there to do this?

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Q: In a race and which six automobiles are entered and there are no ties, and how many ways can the…

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Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

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Q: In Poker, how many ways are there to get Four-of-a-kind with a single Ace as fifth card?

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Q: 11.) Find how many different poker hands you can make in a game of 5 card stud.

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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.