Question

A) A poker hand consists of five cards randomly dealt from a standard deck of 52...

A) A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places.

Determine the probability that exactly 4 of these cards are Aces.

  1. Answer: %

Determine the probability that all five of these cards are Spades.

  1. Answer: %

Determine the probability that exactly 4 of these cards are face cards.

  1. Answer: %

Determine the probability of selecting exactly 2 Aces and exactly 2 Kings

  1. Answer: %

Determine the probability of selecting exactly 1 Jack.

  1. Answer: %

B)Jenelle draws one from a standard deck of 52 cards.

  1. Determine the probability of drawing either a jack or a ten?
    Write your answer as a reduced fraction.
    1. Answer =    
  1. Determine the probability of drawing either a jack or a club?
    Write your answer as a reduced fraction.
    1. Answer =    

c)The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 210 tickets sold. The winner gets a prize worth $94. Round your answers to the nearest cent.

What is the expected value (to you) of one raffle ticket? $

Calculate the expected value (to you) if you purchase 8 raffle tickets. $

What is the expected value (to the PTO) of one raffle ticket? $

If the PTO sells all 210 raffle tickets, how much money can they expect to raise for the classroom supplies? $

Homework Answers

Answer #1

A)

1) probability that exactly 4 of these cards are Aces=4C4*48C1/52C5 = 0.000018 or 0.0018%

2)  probability that all five of these cards are Spades. = 13C5/52C5 = 0.000495 or 0.0495%

3) probability that exactly 4 of these cards are face cards = 12C4*40C1/52C5 = 0.007618 or 0.7618%

4) probability of selecting exactly 2 Aces and exactly 2 Kings = 4C2*4C2*44C1/52C1 = 0.000609 or 0.0609%

5)  probability of selecting exactly 1 Jack = 4C1*48C4/52C5 = 29.9474%

B)

1)  probability of drawing either a jack or a ten = (4+4)/52 = 8/52 = 2/13

2) probability of drawing either a jack or a club = (4+13-1)/52=16/52=4/13

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 3 of these cards are Aces. Determine the probability that all five of these cards are Spades. Determine the probability that exactly 3 of these cards are face cards. Determine the...
5 cards are randomly selected from a standard deck of 52 cards to form a poker...
5 cards are randomly selected from a standard deck of 52 cards to form a poker hand. Determine the probability of being dealt a straight flush (five cards in sequence in the same suit but not a royal flush. Note: A royal flush is 10, Jack, Queen, King, Ace all in the same suit. Note: Aces can be high or low).
3 )One is dealt 6 cards from a standard poker deck of 52 cards. a)What is...
3 )One is dealt 6 cards from a standard poker deck of 52 cards. a)What is the probability of getting 3 aces and 3 kings? b)What is the probability of getting the same except both pairs kings and aces are of the same suit (e.g., the same suit is missing from both).
1. A five-card poker hand is dealt from a standard deck of cards. Find the probability...
1. A five-card poker hand is dealt from a standard deck of cards. Find the probability that: a. The hand contains exactly 3 Clubs and exactly 1 Spade. b. The hand contains at least two aces c. The hand contains all cards from the same suit d. The hand contains three cards from one suit and two cards from different suit e. The hand contains no more than one spade
You deal 5 cards from a well-shuffled full deck. (note that there are 52 cards in...
You deal 5 cards from a well-shuffled full deck. (note that there are 52 cards in a full deck and among these, there are exactly 4 aces and 4 kings (likewise 4 of each of the 13 ranks) in the full deck) a) What is the probability that you get exactly 3 aces among the 5 cards? b) What is the probability that you get exactly 2 kings among the 5 cards? c) What is the probability that you get...
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...
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...
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...
One card is randomly drawn from a standard deck of 52 cards as shown in the...
One card is randomly drawn from a standard deck of 52 cards as shown in the figure below. Using the sample space for drawing a single card from this deck, find the probability that the card is a king or a black card. Give your answer as a reduced fraction.