Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and 13 ranks in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). You pick cards from the deck one at a time without replacement. What is the minimum number of cards you must pick in order to guarantee that you get: a) a pair of any rank, b) two aces, and c) all four aces. I really need help with this one. Please provide details so that I can understa

Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and 13 ranks in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). You pick cards from the deck one at a time without replacement. What is the minimum number of cards you must pick in order to guarantee that you get: a) a pair of any rank, b) two aces, and c) all four aces. I really need help with this one. Please provide details so that I can understa

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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How many ways are there to choose four aces from a standard 52-card deck?
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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?
A deck of card contains 7 red, 5 black, 8 orange, and 9 white cards. How many different 4-card hands: (a) containing only white cards are there? (b) are there that contain only black or white cards”
Five cards are selected out of 52. In how many different ways can this be done if: they contain at least 4 clubs?
Eight cards are drawn from a standard deck of cards. How many different hands are there consisting of: a.All number cards? b.All Face cards? c. 4 black cards and 4 red cards? d.2 spades, 2 hearts, 2 diamonds, and 2 clubs?
Eight cards are drawn from a standard deck of cards. How many different hands are there consisting of: a.All number cards? b.All Face cards? c. 4 black cards and 4 red cards? d.2 spades, 2 hearts, 2 diamonds, and 2 clubs?
A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn such that: a. they are all red? b. there is one of each color? Answer: c. at least 2 are green? Answer:
Eight cards are drawn from a standard deck of cards. How many different hands are there consisting of: a.All number cards, All Face cards? b. 4 black cards and 4 red cards? c.2 spades, 2 hearts, 2 diamonds, and 2 clubs?
How many ways are there to choose two aces from a standard 52-card deck?