How many cards are in this deck?  Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club? When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?

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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A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck.

  1. How many cards are in this deck? 
  2. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club?
  3. When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?
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