Question

In: Statistics and Probability

10. How many ways are there to choose 5 cards from 52 deck of cards to...

10. How many ways are there to choose 5 cards from 52 deck of cards to obtain (a) a full house? That is, of the from aaabb with a and b distinct denominations. (b) a three of a kind? That is, of the form aaabc where a, b, c are have distinct denominations?

Ans: (a) 3,744; (b) 54,912

Solutions

Expert Solution

(a)

(b)

orchestra answered 2 years ago
Next > < Previous

Related Solutions

10. How many ways are there to choose 5 cards from 52 deck of cards to...
10. How many ways are there to choose 5 cards from 52 deck of cards to obtain a three of a kind?
How many ways are there to order the cards in a standard 52 card deck, such...
How many ways are there to order the cards in a standard 52 card deck, such that the ace of hearts and the ace of diamonds are adjacent, but the ace of spades and the ace of clubs are not adjacent?
Question # 6. (a) From a standard 52 card deck of playing cards, how many 5...
Question # 6. (a) From a standard 52 card deck of playing cards, how many 5 card hands, containing exactly 3 Kings, are possible? (b) From a standard 52 card deck of playing cards, how many 5 card hands, containing exactly 1 Diamond and at most 2 Spades, are possible? (c) From a standard 52 card deck of playing cards, how many 5 card hands, containing exactly 1 Spade and twice as many Hearts as Clubs, are possible? (d) From...
Exercise 3.8.18: How many ways are there to choose five cards from 52 so that you...
Exercise 3.8.18: How many ways are there to choose five cards from 52 so that you have all the aces? How many ways are there to choose five cards from 52 so that you have four cards with the same number? Exercise 3.8.20: How many ways are there to choose five cards from 52 so that you have two cards with the same number? Hint: This problem is more tricky than you think.
Assume that 5 cards are dealt at random from a standard deck of 52 cards (there...
Assume that 5 cards are dealt at random from a standard deck of 52 cards (there are 4 suits in the deck and 13 different values (ranks) per each suit). We refer to these 5 cards as a hand in the rest of this problem. Calculate the probability of each of the following events when dealing a 5-card hand at random. (a) Exactly one pair: This occurs when the cards have numeric values a, a, b, c, d, where a,...
52 cards in a deck choose 5 What is the probability of choosing 4 kings and...
52 cards in a deck choose 5 What is the probability of choosing 4 kings and one other card. what is the probability of choosing one king and 4 other cards with the same number?
Using a standard deck of 52 playing cards: How many different ways can I pull 3...
Using a standard deck of 52 playing cards: How many different ways can I pull 3 cards out of a deck (without replacement). In how many of those situations in part (1) did I pull a 3 first? In how many of those situations in part (1) did I pull a 3 or 4 first? In how many of those situations in part (1) did I pull a spade or an ace?
How many different 4 card hands can be dealt from a deck of 52 cards? The...
How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does not matter in this case.
Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such...
Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such a deck includes 4 Queens). Let X denote the number of Queens drawn. Define some indicator random variables X1,..., X5 so that X = X1+:::+X5. Then use the random variables you created to find E(X). Also calculate the E[X] if this time 5 cards are drawn with replacement.
From the 52-card deck, 5 cards are selected. Without replace the cards, find the probability of...
From the 52-card deck, 5 cards are selected. Without replace the cards, find the probability of select first a spade, the second card is another spade, the third card is a red card, the fourth card is a club and the last card is another red card.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT