Chat with our AI personalities
To find the probability of being dealt exactly 4 aces in a 13-card hand from a standard 52-card deck, we can use the hypergeometric distribution. The total number of ways to choose 4 aces from 4 available is ( \binom{4}{4} = 1 ), and the number of ways to choose the remaining 9 cards from the 48 non-aces is ( \binom{48}{9} ). The total number of ways to choose any 13 cards from 52 is ( \binom{52}{13} ). Thus, the probability is given by ( \frac{1 \times \binom{48}{9}}{\binom{52}{13}} ).
The probability that the first four cards are face cards is (16/52)*(15/51)*(14/50)*(13/49) = 43680/6497400 = approx 0.0067
11/4165 = 0.002641056... ≈ 0.26%There are 13 hearts in a deck of 52 cards.So when dealing 4 cards, the probability of all 4 to turn out to be hearts is:P(4 hearts in 4 cards) = (13/52)∙(12/51)∙(11/50)∙(10/49) = 0.002641056...≈ 0.26%
The probability of drawing two diamonds from a deck of cards is (13 in 52) times (12 in 51), or 156 in 2,652, or 78 in 1,327.
In card games, the term "lucky 13" typically refers to having a hand totaling 13 points, often considered a favorable hand in certain games like blackjack. The Ace of Spades is the highest-ranking card in a standard deck of playing cards, symbolizing power, death, or mystery in various contexts. When combined, "lucky 13 with an Ace of Spades" could suggest a winning or fortunate combination in a card game, depending on the rules and strategies involved.