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17. You draw four cards. What is the probability of drawing exactly 3 spades? 18. You draw five cards. What is the...
An ordinary deck of playing cards has 52 cards. There are four suitslong dashspades, hearts, diamonds,...
An ordinary deck of playing cards has 52 cards. There are four suitslong dashspades, hearts, diamonds, and clubslong dashwith 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen. Find the probability that a red card is chosen, and express your answer in probability notation. The probability that a red card is chosen is _____=______
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts,...
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts, diamonds, clubs) of 13 cards in each suit (A,K,Q,J,10,9,8,7,6,5,4,3,2).) What is the probability of being dealt at least one Ace in those first 5 cards? (without replacement) _________________ 5. Six books are randomly stacked on a desk. What is the probability that they will, by chance, be perfectly stacked in alphabetical order? ______________ 6. A group of 10...
The Jack of Spades, Jack of Hearts, Queen of Spades, and Queen of Hearts are taken...
The Jack of Spades, Jack of Hearts, Queen of Spades, and Queen of Hearts are taken from a deck of cards. The four cards are shuffled and two cards are selected from the deck (without replacement). Let A = "Both of the cards you selected are Queens." For (A) - (D), give ?(?)P(A) under each of these conditions. All these problems are to be considered separately. (A) Suppose the first card is a Queen. (B) Suppose that the second card...
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each...
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 3 kings and 2 queens?
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the...
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts,...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a little bit and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts,...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a ittle bi and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts,...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a ittle bi and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts,...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am g in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a te bit and...
You have five cards in your (poker) hand, 3 of which are spades. That means there...
You have five cards in your (poker) hand, 3 of which are spades. That means there are 10 other spades and 37 non-spade cards out there. You get rid of your two non-spade cards and pick up two more. Use a tree diagram to find the chance that you pick up two more spades.
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a little bit and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a ittle bi and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a ittle bi and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am g in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a te bit and...
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