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When 5 cards are dealt from a standard deck of 52 cards what is the probability of getting 4 aces?
If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces? Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards). So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.
How many ways can you deal out 5 cards from a 52 card deck face up in a row?
2598960 different ways
= 2598960 different ways to choose 5 cards from the available 52 cards.
How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces and exactly 2 Kings?
Explanation: There are 6 choices for the 2 Aces based on 4 suits in a standard deck: Clubs, Hearts, Diamonds, Spades. For each of these choices there are 4 choices for the 3 Kings (basically one choice for each suit not included). This gives a combination of 6×4=24 possible hands.
What is the probability of drawing a 5 from a deck of cards?
d) The probability of 5 non-ace cards is: (485)(525)=1,712,3042,598,960=0.6588, so the probability of getting 5 card at least one ace is: 1−0.6588=0.34. There are (525) equally likely ways to choose 5 cards. For solving all but the last problem, we count the number of “favourables” and divide by (525).
How many ways can 3 cards be selected from a 52-card deck?
The first card can be drawn in 52 different ways, the second card in 51 ways and the third in 50 ways. Therefore, there are 52*51*50 ways of drawing three cards from the pack of 52 playing cards. There are 132600 ways are there.
How many 4 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).
What is the probability of getting 5 cards with at least one ace?
d) The probability of 5 non-ace cards is: (48 5) (52 5) = 1, 712, 304 2, 598, 960 = 0.6588, so the probability of getting 5 card at least one ace is: 1 − 0.6588 = 0.34.
How many cards are drawn from a deck with $52$?
Five cards are drawn from a shuffled deck with $52$ cards. Find the probability that b) same as (a)? a) There are $ \\binom {52} {5} = 2,598,960 $ ways of choosing 5 cards.
How many cards are dealt from the randomly mixed deck?
Five cards are dealt from the randomly mixed deck. What is the probability that all cards are the same suit? EDIT: How I went about it before posting this question was doing (1/4) as the first card probability because my thought process was that we’ll draw 1 suit out of the 4 for the first probability.
What are the probabilities of the third fourth and fifth cards?
The third, fourth and fifth cards have probabilities 11 50, 10 49, and 9 48 because there are less and less of the suit of the first card as well as less cards to choose from. Because I need the first thing to happen AND the second thing to happen AND., I need to multiply the probabilities: ( 52 52) ( 12 51) ( 11 50) ( 10 49) ( 9 48)