A poker player holds a nush when all five cards in the hand

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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A poker player holds a flush when all five cards in the hand
belong to the same suit (clubs, diamonds, hearts, or
spades). We will find the probability of a flush when five
cards are drawn in succession from the top of the deck.
Remember that a deck contains 52 cards, 13 of each suit,
and that when the deck is well shuffled, each card drawn is
equally likely to be any of those that remain in the deck.
Macmillan Learning
The probability of drawing five spades in succession from
the top of the deck is the product of the five probabilities
you have found. Why?
The probability of a flush in spades is the product of
the probabilities due to
the general multiplication rule which applies for
determining the probability of dependent events
occurring simultaneously.
the multiplication rule for independent events
which applies for determining the probability of at
least one or more dependent events occurring.
the multiplication rule for independent events
which applies for determining the probability of
independent events occurring simultaneously.
the general multiplication rule which applies for
determining the probability of at least one or more
dependent events occurring.
Transcribed Image Text:A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. Macmillan Learning The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the multiplication rule for independent events which applies for determining the probability of independent events occurring simultaneously. the general multiplication rule which applies for determining the probability of at least one or more dependent events occurring.
A poker player holds a flush when all five cards in the hand
belong to the same suit (clubs, diamonds, hearts, or
spades). We will find the probability of a flush when five
cards are drawn in succession from the top of the deck.
Remember that a deck contains 52 cards, 13 of each suit,
and that when the deck is well shuffled, each card drawn is
equally likely to be any of those that remain in the deck.
© Macmillan Learning
determining the probability of dependent events
occurring simultaneously.
the multiplication rule for independent events
which applies for determining the probability of at
least one or more dependent events occurring.
Othe multiplication rule for independent events
which applies for determining the probability of
independent events occurring simultaneously.
the general multiplication rule which applies for
determining the probability of at least one or more
dependent events occurring.
What is this probability? Give your answer to six
decimal places.
probability:
0.00198
Transcribed Image Text:A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. © Macmillan Learning determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. Othe multiplication rule for independent events which applies for determining the probability of independent events occurring simultaneously. the general multiplication rule which applies for determining the probability of at least one or more dependent events occurring. What is this probability? Give your answer to six decimal places. probability: 0.00198
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