Calculating the Probability of Drawing All Diamonds from a Deck of Cards

In summary, the conversation discussed the probability of drawing three diamonds from a standard deck of 52 cards, with topics including Bayes' Law, permutations and combinations, Binomial Distribution, dependent and independent events, and conditional probability. The suggested calculation of 4/52 * 3/51 * 2/50 was questioned, but it was clarified that there are four aces in a deck of cards, not diamonds. The correct calculation is 13/52 * 12/51 * 11/50, resulting in a probability of approximately 0.000181. It was also mentioned that only moderators can delete threads.
  • #1
gray91
5
0
Three cards are dealt from a standard deck of 52 cards. What is the probability that all of them will be diamonds?

If it helps, the topics for this unit are Bayes' Law, Problems involving permutations and combinations, problems involving Binomial Distribution, dependent events, independent events, and conditional probability.

What I've tried is 4/52 * 3/51 * 2/50 and the answer I've been getting (not necessarily correct, heh) is
(rounded) 0.000181 which seems way too small.

Unfortunately I don't know the correct answer and have been unable to find any examples like it help me with figuring it out.

If you could confirm my answer (i really think its wrong) or show me what i should be doing then that'd be great.
 
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  • #2
Where did the 4 in 4/52 come from?
 
  • #3
there are four aces in a deck of cards
 
  • #4
But didnt the question ask for diamonds, not aces?

Three cards are dealt from a standard deck of 52 cards. What is the probability that all of them will be diamonds?
 
  • #5
awwwwwwwwwwwwwwwwwww
 
  • #6
ok thank you, I can do it now... sorry about that
 
  • #7
on a different note, can you delete threads?
 
  • #8
I think only moderators can delete threads.
 

FAQ: Calculating the Probability of Drawing All Diamonds from a Deck of Cards

What is a "Probability Card Question"?

A "Probability Card Question" is a type of question that involves using a deck of cards to determine the likelihood of a certain outcome or event. It is a common tool used in mathematics and statistics to understand probability and chance.

How do you calculate the probability of a "Probability Card Question"?

To calculate the probability of a "Probability Card Question", you need to determine the total number of possible outcomes and the number of desired outcomes. Then, divide the number of desired outcomes by the total number of possible outcomes. For example, if you want to know the probability of drawing a red card from a deck of 52 cards, the total number of possible outcomes is 52 and the number of desired outcomes is 26 (half of the deck), so the probability is 26/52 or 1/2.

What is the difference between theoretical probability and experimental probability in a "Probability Card Question"?

Theoretical probability is the probability that is calculated based on mathematical principles and assumptions, while experimental probability is the probability that is determined through actual experiments or observations. In a "Probability Card Question", theoretical probability would be calculated using the total number of possible outcomes, while experimental probability would be determined by conducting multiple trials and recording the outcomes.

Can "Probability Card Questions" be applied to real-life situations?

Yes, "Probability Card Questions" can be applied to real-life situations. They can be used to determine the probability of events such as winning a game of chance, drawing a certain card in a card game, or predicting the outcome of a situation based on chance.

What other types of questions can be answered using probability besides "Probability Card Questions"?

Probability can be used to answer many types of questions, such as predicting the weather, determining the likelihood of a medical diagnosis, or calculating the chances of winning the lottery. It is a versatile tool that can be applied to a wide range of scenarios to understand and make predictions about uncertain events.

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