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What is the probability of drawing a 3 black cards with replacement?

Posted on October 28, 2020 by Author

Table of Contents

  • 1 What is the probability of drawing a 3 black cards with replacement?
  • 2 What is the probability that all 3 cards are kings?
  • 3 What is the probability of drawing 3 Kings in a row?
  • 4 What is the probability of getting a full hand in blackjack?

What is the probability of drawing a 3 black cards with replacement?

If you take a card with replacement, the 1/2 ratio remains constant. Each take is independent, so the probility for 3 takes is 1/2 × 1/2 × 1/2, or 1/8.

What is the probability of getting a black card in a deck of 52 cards?

There are 6 black face cards, so the probability is 6/52 = 3/26.

What is the probability of drawing two aces with replacement from a pack of 52 cards?

1/169
Two cards are drawn successively with replacement from a pack of 52 cards. The probability of drawing two aces is. =1/169.

What is the probability that all 3 cards are kings?

So our probability is (43)/(523). Or else imagine taking out the cards one at a time. The probability the first card taken out was a King is 452. Given that the first card taken out was a King, the probability the second one was is 351, since there are 51 cards left of which 3 are Kings.

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What’s the probability of drawing a black card?

However, The probability of getting a black card or an ace [which we may denote as P(black or ace)] is not P(black) + P(ace) since the former is 28/52 (there are 26 black cards and 2 red aces) while the latter is 26/52 + 4/52.

What is the probability of drawing a black card or a spade?

Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.

What is the probability of drawing 3 Kings in a row?

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\%.

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

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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

What is the probability of getting a black card?

(viii) a black card: Cards of spades and clubs are black cards. Number of spades = 13 . Number of clubs = 13. Therefore, total number of black card out of 52 cards = 13 + 13 = 26. Therefore, probability of getting ‘a black card’ Number of favorable outcomes P(H) = Total number of possible outcome = 26/52 = 1/2 (ix) a non-ace:

What is the probability of getting a full hand in blackjack?

Your first card can be anything. So you have 52 choices out of 52 cards (because no matter what card you draw you can get a full hand of the same suite). Your second card, has to be the same suit as your first card, so probability of that is 12 51 because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.

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What is the probability the first two cards taken out were kings?

Giventhat the first card taken out was a King, the probability the second one was is $\\frac{3}{51}$, since there are $51$ cards left of which $3$ are Kings. So the probability the first two cards were Kings is $\\frac{4}{52}\\cdot\\frac{3}{51}$. **Given that the first two were Kings, the probability the third is is $\\frac{2}{50}$.

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