Question

Consider a standard deck of 52 playing cards. Each part of 19 and 20 is worth...

Consider a standard deck of 52 playing cards. Each part of 19 and 20 is worth 3 points, while 21 is worth 10 points.

19. (a) How many three-card hands are possible?

(b) How many three-card hands consisting only of face cards (jack, queen, king) are possible?

20. (a) How many five-card hands consisting entirely of hearts are possible?

(b) How many three-card hands consisting only of face cards (jack, queen, king) are possible?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

19. a.) The 3 card hands possible out of 52 cards is 52C3 = 22100

b.) No. of face cards in a standard deck of 52 cards is 12 (4 jacks, 4 queens and 4 kings)

Then no. of 3 card hands that consist only of face cards = 12C3 = 220

20. a.) There are 13 hearts in a standard deck of 52 cards, so the number of 5 card hands consisting entirely of hearts = 13C5 = 1287

b.) There are 12 face cards in a standard deck, so the number of 3 card hands consisting only of face cards = 12C3 =220

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Probabilities with a deck of cards. There are 52 cards in a standard deck of cards....
Probabilities with a deck of cards. There are 52 cards in a standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds, and Spades) and there are 13 cards in each suit. Clubs/Spades are black, Hearts/Diamonds are red. There are 12 face cards. Face cards are those with a Jack (J), King (K), or Queen (Q) on them. For this question, we will consider the Ace (A) card to be a number card (i.e., number 1). Then for each...
Consider the experiment of selecting a playing card from a deck of playing cards. Each card...
Consider the experiment of selecting a playing card from a deck of playing cards. Each card corresponds to a sample point with a probability. a. How many sample points are there in the event that a king is selected? b. How many sample points are there in the event that a spade is selected? c. How many sample points are there in the event that a face card ( jack, queen, or king) is selected? d. Find the probabilities associated...
he following question involves a standard deck of 52 playing cards. In such a deck of...
he following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and...
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Queen, and King; the last three are considered face cards). A card is drawn at random from a standard 52-card deck.   What is the probability that the card is a number card given the card is black (Spades and Clubs)? Group of answer choices 6/26 1 - 10/26 20/52 10/13
The following question involves a standard deck of 52 playing cards. In such a deck of...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
The following question involves a standard deck of 52 playing cards. In such a deck of...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
Assume you are playing with a single standard deck of 52 cards. What is the probability...
Assume you are playing with a single standard deck of 52 cards. What is the probability of being dealt Blackjack (exactly 21 in 2 cards)? To get exactly 21, you need one Ace and you need either a 10, Jack, Queen, or King.
Three cards are dealt from a deck of 52 playing cards. Find the probability that a...
Three cards are dealt from a deck of 52 playing cards. Find the probability that a 3 card hand consists of: a. All hearts ( Answer is P(13,3)) b. An Ace, King and Queen of the same suit (Answer is P(4)) c. A pair of 2s (Answer is C(4,2) x C(48,1) Need help setting up the problem
1.A standard poker deck has 52 cards, in four suits (clubs, diamonds, hears, spades) of thirteen...
1.A standard poker deck has 52 cards, in four suits (clubs, diamonds, hears, spades) of thirteen denomination each (2, 3, ..., 10, Jack, Queen, King, Ace, in ascending order). A poker hand consists of 5 unordered cards. a. How many different poker hands are possible? (1 point) b. When drawing 5 cards at random from a poker deck, what is the probability of drawing two Hearts and a three Spades? (1 point) 2. Five students are to be sampled from...
How many possible? 5-card hands from a standard? 52-card deck would consist of the following? cards?...
How many possible? 5-card hands from a standard? 52-card deck would consist of the following? cards? ?(a) three hearts and two non hearts ?(b) four face cards and one non-face card ?(c) one red card?, two clubs, and two spades
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT