A card game requires that 44 cards are drawn from a 5252 card deck. Determine the following probabilities of a randomly drawn hand of 44 cards.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 26E
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A card game requires that 44 cards are drawn from a 5252 card deck. Determine the following probabilities of a randomly drawn hand of 44 cards.

Write your answers as percents rounded to 4 decimal places.

Note: Aces are not considered Number Cards or Face Cards.
Deck of Cards
What is the probability that all 44 cards are clubs?

   %
What is the probability that all 44 cards are number cards?

   %
What is the probability that 22 cards are blackblack cards, and 22 cards are redred cards?

   %
What is the probability 33 cards are face cards, and 11 cards are number cards?

   %
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