A deck of cards in a game contains all four suits (Clubs ♣ and Spades ♠, which are black, and Hearts ♥ and Diamonds ♦, which are red), but only the cards with values 5, 6, 7, 8, 9, and 10. a. How many different 5- card hands can be formed using this deck?  b. How many different 5-card hands can be formed that contain at least 4 red cards?  c. How many different 5-card hands can be formed that contain at least one club and at least one heart?  d. How many different 5-card hands can be formed that contain at least one spade and at least two 10s?

Eight cards are drawn from a standard deck of cards. How many different hands are there consisting of: a.All number cards, All Face cards? b. 4 black cards and 4 red cards? c.2 spades, 2 hearts, 2 diamonds, and 2 clubs?

Pls help ASAP

Q. Recall that a standard 52-card deck has 4 suits, namely ♥, ♦, ♣, and ♠, each of which has 13 cards of different kinds or ranks, namely A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, and 2.One infamous five-card hand is the Dead Man’s Hand, consisting of A♣, A♠, 8♣, 8♠, and Q♥. According to legend – there seem to be no contemporary accounts that describe the hand – this is the poker hand that James Butler “Wild Bill” Hickok held when he was shot in the back of the head in a saloon in the town of Deadwood in the then Dakota Territory in 1876.1. If you draw a five-card hand at random and all at once (so order doesn’t matter), what is the probability that it will be the Dead Man’s Hand? 2. If you draw a five-card hand at random and all at once (so order doesn’t matter), what is the probability that it will have no card in common with the Dead Man’s Hand? 3. If you draw a five-card hand at random and all at once (so order doesn’t matter), what is the probability that it will have exactly one card…