Suppose we have a deck of cards, but some of the cards are missing. That is, instead of 52 cards,we have 48 cards. My friend wants to play a magic trick - he wants me to pick a card, remember it,put it back in the deck, then shuffle the deck. He claims he can find that card. Clearly, my friendkeeps track of my card somehow, but if he did not keep track, and the cards were perfectlyrandomized, what would be the probability that he would select my card from the deck? Roundyour answer to 4 decimal places. Recall Canvas truncates trailing Os automatically without loss ofmarks - that means if you enter something like 0.5000, Canvas changes it to 0.5, and you do notlose marks as a result.

Given that, deck of contains 48 cards. Two friends play magic trick in which one select card from…

Answered: Suppose we have a deck of cards, but…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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A group of six friends are playing poker one night, and one of the friends decides to try out a new game. They are using a standard 52-card deck. The dealer is going to deal the cards face up. There will be a round of betting after everyone gets one card. Another round of betting after each player gets a second card, etc. Once a total of 7 cards have been dealt to each player, the player with the best hand will win. However, if any player is dealt one of the designated cards, the dealer collects all cards, shuffles, and starts over. The designated cards are: 9 of Hearts, Jack of Diamonds. The players wish to determine the likelihood of actually getting to play a hand without mucking the cards and starting over. In how many ways can you deal the cards WITHOUT getting one of the designated cards? (Hint: Consider how may cards are in the deck that are NOT one of the designated cards and consider how many cards need to be dealt in order for each player to have 7 cards.) In how many ways…
Suppose a friend of yours decides to play a game. He shows you three cards, one is white on both sides, one is black on both sides and one card is white on one side and black on the other side. He mises the cards and lets you select one at random and place it on the table. Your friend then calls out the color on the underside. If he selects the right color, you lose $1.00; if he does not select the correct color on the underside, you win $X. Determine the value of X so that the game is even. Round to the nearest penny.
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess. Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct? Yes, Shawn has guessed well so far, so it is clear that he cannot miss. No, all of the cards have been blue so far, so the next one must also be blue. Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue. No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
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help me
You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent

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