
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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How many ways are there to choose three cards from a standard 52-card deck without choosing any kings?
How many five-card hands (drawn from a standard 52-card deck) contain exactly two kings?
How many five-card hands (drawn from a standard 52-card deck) contain a two-of-a-kind?
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- In how many ways can a hand of 7 spades be chosen from an ordinary deck?arrow_forwardConsider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades,clubs, diamonds, hearts and 13 cards of each suit: numbers 2 through 10, jack, queen, king, and ace.Jack, queen, and king are considered face cards).(a) How many hands are there?(b) How many hands contain all diamonds?(c) How many hands contain cards from all four suits?(d) How many hands consist of all face cards?arrow_forwardIf P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1, using two decimal points)arrow_forward
- In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit) with a Five in it?arrow_forwardHow many ways are there to choose four aces from a standard 52-card deck?arrow_forwardgiven a standard 52 card deck, how many ways are there to draw a 5-card hand with at least two face cards?arrow_forward
- This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen from the deck.How many hands contain exactly two 2s and two 5s?arrow_forwardA standard 52-card deck contains four jacks, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 20,358,520 different six-card hands possible, decide how many would consist of the following. (a) all diamonds (b) all black cards (c) all jacksarrow_forward9) The game of Euchre uses the 9s, 10s, Jacks, Queens, Kings, and Aces from a standard deck of cards (24 total). There are 4 cards for each type, and they are divided into four different suits: Spades, Hearts, Diamonds, and Clubs. Additionally half of the total cards are either black or red. If you were to make a 5-card hand, how many hands are possible: a) Without restriction? b) That contain exactly 2 Hearts c) That contain at least 1 Ace? MDM Fridaarrow_forward
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