Guidelines

What is the chance that at least one card is an Ace?

What is the chance that at least one card is an Ace?

The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52. Thus, the chance of drawing at least one ace in two draws is 4/52 + 4/52 – (4/52 × 3/51), or 33/221.

What is the probability of getting at least one queen?

Since the probability of drawing a queen in one draw is 1/13 (there are 4 Queens and 52 cards) then the probability of getting any queen in three tries is 1/13 + 1/13 + 1/13, or 3/13. About 23\%.

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What is the probability that at least one of the three cards is a face card?

There are 52 cards in a pack. Therefore the probability of getting no face card is 38/85. Therefore the probability of getting at least one face card is 47/85.

What is the probability of drawing 3 face cards without replacement?

That means a standard deck already contains twelve face cards, so the probability of getting three is 100\%. Or did you mean “What is the chance of getting 3 face cards by picking only three cards without replacement?” If that’s the case, then you calculate 12/52 * 11/51 * 10/50 to get your answer.

What is the probability of getting a queen card?

There are four queens in a 52 card deck, so the probability of drawing a queen at random is 4/52 or 1/13.

What’s the probability of getting a king or a queen from a pack of 52 cards?

2/13
Hence the probability of getting a king or a queen out of 52 cards is 2/13. Note: You might mistake the question as a king and a queen in place of a king or a queen.

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How many ways can any three cards be dealt?

1 Expert Answer To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways. More generally, there are n!/(n-k)!

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.

What is the probability of getting a full hand with 52 cards?

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 $\\frac{12}{51}$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 of getting the same suit twice?

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.

How many $52$ cards are in a deck of cards?

Three cards are selected from a standard deck of $52$ cards. Disregarding the order in which they are drawn, the possible outcomes are $\\binom{52}{3}$. Out of these, how many include all cards of the same suit (say hearts)?