Probability of deck of cards question

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    Cards Probability
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Homework Help Overview

The discussion revolves around calculating the probability of drawing two red cards and two picture cards from a standard deck of cards, utilizing probability trees as a method for analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of joint probability and how to combine probabilities for sequential draws. There are inquiries about the total number of picture cards and red cards in a deck, as well as questions regarding whether the first card is replaced after being drawn.

Discussion Status

Some participants are seeking clarification on fundamental concepts related to card probabilities, while others are attempting to understand how to apply joint probability in this context. There is a mix of knowledge levels, with some expressing uncertainty about basic card counts.

Contextual Notes

Participants are discussing the rules of drawing cards, specifically whether cards are replaced after being drawn, which affects the probability calculations.

nikk834
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Homework Statement



Use probability trees to determine the probability of obtaining,in a deck of cards:

two red cards (A-10 hearts or diamonds) and two picture cards (any suit) in any order?

Homework Equations





The Attempt at a Solution


P(1st red card)= 20/52 P (2nd red card)=19/51
P(1st picture card) = 12/52 P(2nd picture card)=11/51
How would you combine these together to get the solution? Do you use joint probability?
 
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I don't know joint probability. But you can get the answer by multiplying the numbers together.
 
I don't know much about cards (can you tell me how many picture cards and how many color cards are there in a deck)
 
Do you replace the first card once picked out of the deck?
 
snshusat161 said:
I don't know much about cards (can you tell me how many picture cards and how many color cards are there in a deck)

Are you serious you don't know? There are Jacks, Queens and Kings (picture), Ace's, 2-10's. Four of each.
 

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