6. You are playing a card game with a friend. You are using a new deck...

6. You are playing a card game with a friend. You are using a new deck of 52 playing

cards and you’d like to calculate some probabilities to improve your game.

(Remember, the total number of cards decreases by 1 every time you draw a

card!)

a. What is the probability of drawing three queen cards in a row?

b. What is the probability of drawing all four aces in a row?

c. What is the probability of drawing the king of hearts, the queen of hearts, the jack of hearts, and an ace (in that order)?

Expert Solution

orchestra answered 2 years ago

6. You are playing a card game with a friend. You are using a new deck...

6. You are playing a card game with a friend. You are using a new deck of 52 playing cards and you’d like to calculate some probabilities to improve your game. (Remember, the total number of cards decreases by 1 every time you draw a card!) a. What is the probability of drawing three queen cards in a row? b. What is the probability of drawing all four aces in a row? c. What is the probability of drawing the...

We are creating a new card game with a new deck. Unlike the normal deck that...

We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 15. ii) One of 5 different suits. Hence, there are 75 cards in the deck with 15 ranks for each of the 5 different suits, and none of the cards will...

We are creating a new card game with a new deck. Unlike the normal deck that...

We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 15. ii) One of 5 different suits. Hence, there are 75 cards in the deck with 15 ranks for each of the 5 different suits, and none of the cards will...

We are creating a new card game with a new deck. Unlike the normal deck that...

We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 16. ii) One of 5 different suits. Hence, there are 80 cards in the deck with 16 ranks for each of the 5 different suits, and none of the cards will...

Your friend has chosen a card from a standard deck of 52 playing cards and no...

Your friend has chosen a card from a standard deck of 52 playing cards and no one knows the card except himself. Now you have to guess the unknown card. Before guessing the card, you can ask your friend exactly one question, the question must be either Q1, Q2 or Q3 below: Q1. whether the chosen card is an ace (A)? Q2. whether the chosen card is a spade (♠)? Q3. whether the chosen card is the ace of spades...

Your friend has chosen a card from a standard deck of 52 playing cards and no...

Your friend has chosen a card from a standard deck of 52 playing cards and no one knows the card except himself. Now you have to guess the unknown card. Before guessing the card, you can ask your friend exactly one question, the question must be either Q1, Q2 or Q3 below: Q1. whether the chosen card is a king (K)? Q2. whether the chosen card is a spade (♠)? Q3. whether the chosen card is the king of spades...

Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck....

Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him $6. If Kyd selects any other type of card, he pays North $3. a) What is Kyd's expected value for this game? Round your answer to the nearest cent. $ b) What is North's expected value for this game? Round your answer to the nearest cent. $

1) We are creating a new card game with a new deck. Unlike the normal deck...

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 10. ii) One of 9 different suits. Hence, there are 90 cards in the deck with 10 ranks for each of the 9 different suits, and none of the cards...

1) We are creating a new card game with a new deck. Unlike the normal deck...

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 16. ii) One of 5 different suits. Hence, there are 80 cards in the deck with 16 ranks for each of the 5 different suits, and none of the cards...

. Two friends are playing a matching card game where friend 1, Max, chooses an Ace,...

. Two friends are playing a matching card game where friend 1, Max, chooses an Ace, Two, or Three and friend 2, Lucy, plays King, Queen, or Jack. They both put $ 5 each into the pot. Depending on what cards they play, they split the pot differently. The payoffs are summarized in the following table: Lucy King Queen Jack Max Ace (1,3) (3,5) (2,4) Two (6,5) (3,3) (3,2) Three (4,2) (5,4) (3,1) (a) Use iterated elimination of strictly...

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6. You are playing a card game with a friend. You are using a new deck...

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