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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40

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A six-card hand is dealt from an ordinary deck of cards find the probability that

Introduction to Probability

Chapter 3

Combinatorics

Section 2

Combinations

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Introduction to Combinatorics and Probability

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A six-card hand is dealt from an ordinary deck of cards find the probability that

Charles M. Grinstead

Introduction to Probability

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What is the probability that of 6 cards taken from a full pack of cards 3 will be black and 3 will be red?

The probability that 3 will be red and 3 black is 0.3320.

What is the probability of drawing 3 face cards in 3 draws from an ordinary deck of cards?

A standard deck of playing cards has four suits — each suit has 3 face cards. That means a standard deck already contains twelve face cards, so the probability of getting three is 100%.

How many hearts are in a deck of cards?

- There are 4 suits (Clubs, Hearts, Diamonds, and Spades) and there are 13 cards in each suit (Clubs/Spades are black, Hearts/Diamonds are red) - Without replacement means the card IS NOT put back into the deck. With replacement means the card IS put back into the deck.

What is the probability that the four cards you draw are hearts?

Expert-Verified Answer With replacement, the probability of drawing four hearts in a row is 1 in 256. There are 13 cards of each suit in a deck of cards, 1/4 of the deck.