Calculating Probability of Drawing Cards from a Deck

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Homework Help Overview

The discussion revolves around calculating probabilities related to drawing cards from a standard 52-card deck. The original poster seeks assistance with three specific probability scenarios involving the colors of the drawn cards.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the probability of drawing one black and one red card, both cards being the same color, and both cards being red. Some suggest starting with simpler cases, such as drawing one card, to build understanding. Others inquire about the original poster's prior attempts and encourage sharing of their work for collaborative assistance.

Discussion Status

The discussion is ongoing, with participants providing guidance on breaking down the problem into simpler components. There is an emphasis on understanding the sequence of events in drawing cards and the application of combinatorial concepts to aid in solving the probability questions.

Contextual Notes

The original poster expresses a lack of understanding of probability, indicating a need for foundational support. There is a suggestion to familiarize oneself with combinatorial methods, which may be relevant to solving the posed problems.

mayra1223
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Drawing cards:
Two cards are drawn from a 52 card deck. What is the probability that
A. 1 card is black and 1 card is red
B. Both cards are the same color
C. Both cards are red?

Please I need help
Thank youu
 
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Let's start easy: Suppose I draw just one, what is the chance that it is black?
Now, I have a deck with 51 cards, of which 26 are red and 25 black. I draw one, what is the chance that it is red? Now what is the chance that both happen in sequence?
Now do the same for the case where the red one is drawn first, and add the probabilities.
 
mayra1223 said:
Drawing cards:
Two cards are drawn from a 52 card deck. What is the probability that
A. 1 card is black and 1 card is red
B. Both cards are the same color
C. Both cards are red?

Please I need help
Thank youu
I have never understood much about probability; could you please offer me some clues, for example by posting what you have done so far?

You shouldn't expect people to manage this without your cooperative help! :smile:
 
CompuChip said:
Let's start easy: Suppose I draw just one, what is the chance that it is black?
Now, I have a deck with 51 cards, of which 26 are red and 25 black. I draw one, what is the chance that it is red? Now what is the chance that both happen in sequence?
Now do the same for the case where the red one is drawn first, and add the probabilities.

As CompuChip suggested, try the above method and post what you get. You might also want to familiarize and brush up on combinatorics. If you know how to calculate permutation and combination, it should be good, at least for now. This makes your job "slightly" easier in the above problem, and very easy in problems like, choosing four cards from 52 each of different suite. In that case, it can take a while to calculate the various ways of suite selection (i.e. first hearts, then spades etc. and also other combinations).

But if your combinatorics is good, then you can directly use those concepts in calculating Probability, that makes your life easier.

Regards,
Sleek.
 

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