Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs, Spades, and Diamonds) and 13 Cards per suit (2-10, Jack, Queen, King, Ace) . So there are a total of 52 cards. Event A = Pulling an even number card (2,4,6,8,10) Event B = Pulling a Diamond Card Event C = Pulling a Face Card (Jack, Queen, King) Calculate: P(C ∩ Bc) P(A ∪ C) P(C ∪ Ac) P(C | Bc) P(A | B)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs, Spades, and Diamonds) and 13 Cards per suit (2-10, Jack, Queen, King, Ace) .  So there are a total of 52 cards.

 

Event A = Pulling an even number card (2,4,6,8,10)

Event B = Pulling a Diamond Card

Event C = Pulling a Face Card (Jack, Queen, King)

Calculate:

  • P(C ∩ Bc)
  • P(A ∪ C)
  •  P(C ∪ Ac)
  • P(C | Bc)
  • P(A | B)

P(A ∩ Cc) = 0.4615

P(A) = 0.3846

P(Cc) = 0.7693

All answers should be represented as a proportion

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