Probability of card shuffling homework

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SUMMARY

The discussion centers on calculating the probability of drawing four red cards from a standard deck of cards, excluding the JQK of hearts and diamonds. Participants debated whether to use the probabilities based on the total deck size of 52 cards or the adjusted size of 46 cards, given the exclusion of specific cards. The correct approach involves using the probabilities 20/46, 19/45, 18/44, and 17/43, as the question specifies that JQK hearts and diamonds are not counted as red cards in the final outcome.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with probability trees
  • Knowledge of standard deck composition (52 cards)
  • Ability to perform sequential probability calculations
NEXT STEPS
  • Study the construction and application of probability trees in card games
  • Learn about conditional probability and its implications in card drawing scenarios
  • Explore combinatorial mathematics related to card games
  • Investigate variations in card games that affect probability calculations
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Students studying probability theory, educators teaching probability concepts, and anyone interested in card game strategies and mathematical modeling.

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Homework Statement


A deck of cards is shuffled and a card is dealt. The remaining cards are shuffled and another card is dealt. The process is repeated until you have four cards dealt from the main pack. Use probability trees to determine the probability of obtaining:

four red cards (not including JQK hearts or JQK diamonds)?

Homework Equations





The Attempt at a Solution



For this would you put 20/46, 19/45, 18/44 and 17/43 or would you put the 20/52, 19/51, 18/50,17/49?
 
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Well, it depends on the question. By "(not including JQK hearts or JQK diamonds)", does it mean not to use them at all in the deck or they are used but just don't count as red cards.
 

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