1. You are excited because your new card game has arrived. This game consists of 40...

1. You are excited because your new card game has arrived. This game consists of 40 unique cards. What is the number of ordered samples of 4 cards that can be drawn without replacement from the new deck of cards?

2. You are arranging flowers for a party. You have four white flowers, three yellow flowers, and two lavender flowers. How many different ways can these different colors be arranged?

3. You have a brown paper bag that contains two black balls and two red balls. Two balls are selected at random without replacement. You are told that at least one of the balls is red. What is the probability that the other ball you selected is also red? Give your answer to four decimal places.

4. You have a brown paper bag that contains 10 burnt orange balls and 10 navy blue balls (these are UVA’s colors where I went to graduate school, undergraduate was at UGA, thus I am a dawg). The balls are drawn at random, one at a time without replacement. Find the probability that the fourth burnt orange ball is the seventh ball drawn. Give your answer to four decimal places.

5 In a meadow there are 50 butterflies of which 10 have been tagged. An entomologist random catches 7 butterflies one at a time without replacement. What is the probability that exactly 2 tagged butterflies will be caught? Give your answer to four decimal places.

Expert Solution

orchestra answered 1 year ago

Question 1: Part a) A game consists of drawing 1 card from a standard deck of...

Question 1: Part a) A game consists of drawing 1 card from a standard deck of 52 cards. If you draw an Ace you win $50. If you draw a Jack, Queen, or King you win $20. If you draw a 10, 9 or 8 you win $15. If you draw anything lower than an 8, you don’t win anything. If it costs $10 to play, what is your expected value? Part b) It costs $180/yr to buy insurance for...

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...

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...

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...

You pay $1 to play a game. The game consists of rolling a pair of dice....

You pay $1 to play a game. The game consists of rolling a pair of dice. If you observe a sum of 7 or 11 you receive $4. If not, you receive nothing. Compute the expected value and standard deviation for this game?

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...

Scenario: You are 40 years old. Your investment portfolio currently consists of: (1) a savings account,...

Scenario: You are 40 years old. Your investment portfolio currently consists of: (1) a savings account, with a $16,000 balance, (2) certificates of deposit (CDs) worth $20,000, and (3) an investment portfolio consisting of 40% bonds, 40% equities, and 20% cash and cash equivalents. Your bonds are thirty-year U.S. government bonds, while your equities are made up solely of your employer’s stock. Your cash holdings consist of your savings account and CDs. Your employer’s stock paid a 1% dividend and...

Question

1. You are excited because your new card game has arrived. This game consists of 40...

Solutions

Expert Solution

Related Solutions

Question 1: Part a) A game consists of drawing 1 card from a standard deck of...

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...

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...

You pay $1 to play a game. The game consists of rolling a pair of dice....

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...

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

Scenario: You are 40 years old. Your investment portfolio currently consists of: (1) a savings account,...