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What is the probability of getting at least one club when drawing 3 cards from a standard deck assuming the drawn card is returned to the deck each time?

Posted on August 16, 2022 by Author

What is the probability of getting at least one club when drawing 3 cards from a standard deck assuming the drawn card is returned to the deck each time?

Game 1: First draw is a win, so we stop. P(G2) = 39 non-clubs / 52 cards AND 13 clubs / 51 cards = 0.19117…. The probability of no Club is 39/52×38/52×37/52=39.00\% approximately so the probability of getting at least one Club is approximately 61.00\%.

What is the probability of drawing a 5 of clubs?

12/51 = chance of 2nd club, etc., until 9/48 = chance of 5th club.

What is the probability of getting a 3 of clubs?

Assuming no replacement,first King is 4/52 , second is 3/51 and third is 2/50 probability respectively. Multiplying these three gives us a probability of 24/132600 or 1/5525 , which is 0.0181\%.

How many 3 of clubs are there in a deck of cards?

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠), with reversible (double-headed) court cards (face cards).

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What are the odds of drawing a 5 from these cards?

Ask away, Grasshopper! There are two red fives in a deck of 52 cards. That translates to 1 chance in 26, or 25 to 1. The odds of drawing a red 5 from a standard (52 card) deck is 2/52 or 1/26.

What is the probability that all 5 cards are diamonds?

The chances, in a standard deck, of having exactly 5 cards in the suit diamonds, is 0\%, as 5 does not equal 13, isn’t going to, won’t “maybe” or “could be” or anything of the sort. If you did not mean “exactly” but rather “at least” then the chances would be 100\%, as 5 or more will always be included in 13.

What is the probability of drawing 4 spades in four draws without replacement?

There is approximately a 0.3\% chance of drawing four spades in a row, without replacement. Originally Answered: Four cards are drawn at random from a pack of 52 cards. What is the probability of getting all four cards are spades? This simplifies to 11/4165 or approximately 0.00264 or one chance in 379.

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What is the probability of drawing a club card on one attempt?

Otherwise less than five attempts are necessary. This is a then a negative binomial distribution probabilty problem. The probability of drawing a club card on one attempt is 13 52 because there are 13 cards in the clubs suit. This fraction reduces to 1 4.

How many draws does it take to get 3 clubs?

Further suppose that it takes all five draws to get exactly three clubs. Otherwise less than five attempts are necessary. This is a then a negative binomial distribution probabilty problem. The probability of drawing a club card on one attempt is 13 52 because there are 13 cards in the clubs suit.

What is the probability of drawing 3 cards from a deck?

3cards from a deck one at a time what is the probability: You draw a Club, a Heart and a Diamond (in that order) P(1st is Club ∩ 2nd is Heart ∩ 3rd is Diamond) = P(1st is Club)*P(2nd is Heart)*P(3rd is Diamond) = (13/52) * (13/51) * (13/50) =.0166

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What is the probability of getting an ace in 5 consecutive attempts?

Probability of picking an ace from a deck of 52 cards in any attempt is 4 52 = 1 13. So, the required probability of picking up an ace in 5 consecutive attempts is ( 1 13) 5 4 in 52 first ace, if fail do you still make a 4 in 52 draw? or remove failed card? see the more complete answers below! An experience in the ages of medieval empires!

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