A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then...

A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then deal 5 cards to Alice and 6 cards to Bob (without any replacement, of course). Let X be the number of red cards that Alice gets, and Y the number of red cards that Bob gets. (a) Write down the joint probability mass function of X and Y . (Write a formula rather than a table.) (b) Are X and Y independent? (c) Compute the conditional probability P(X = 1|Y = 1). Give the result as a decimal.

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orchestra answered 2 years ago

A special deck of cards has 5 red cards, and 4 purple cards. The red cards...

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A deck of playing cards contains 52 cards, half of which are red cards. What is...

A deck of playing cards contains 52 cards, half of which are red cards. What is the probability that the deal of a five-card hand provides: 1) No red cards? 2) At least 3 red cards? a) .325, .025 b) .325, .5 c) .5, .325 d) .025, .50 e) .5, .15

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say...

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 cards each). a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say...

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 card each). a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?

A handful of cards contains 4 black cards and 4 red cards. 3 cards are drawn...

A handful of cards contains 4 black cards and 4 red cards. 3 cards are drawn at random without replacement. The events A, B, C are defined as follows: • A ={more black cards than red cards are drawn} • B ={at least one black card is drawn} • C ={all the cards drawn are of the same color} (a) Compute P(A) (b) Compute P(B) (c) Compute P(C) (d) Compute P(A|B) (e) Are A and C independent?

Suppose you shuffle a deck of cards and set it down on the table. (a) What...

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choose exactly 7 red cards when you pick 10 cards from a deck.

An urn contains 6 red balls and 4 green balls. A sample of 7 balls is...

An urn contains 6 red balls and 4 green balls. A sample of 7 balls is selected at random. a. How many different samples are possible? b. How many samples contain 5 red and 2 green balls? c. How many sample contain all red balls? d. How many samples contain at least 4 red balls? e. What is the probability in a draw of 7 balls there is 3 red and 4 green?

Find s shuffle of a deck of 13 cards that requires 42 repeats to return to...

Find s shuffle of a deck of 13 cards that requires 42 repeats to return to the original order. How about one requiring 30 repeats?

Imagine I offer you the following gamble. I shuffle an ordinary deck of cards (52 cards of 4 suits; no “jokers”). I draw one card from the deck

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A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then...

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