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3. Suppose the are 100 cards numbered 1 through 100. Draw a card at random. Let...
There is a deck of cards numbered 1 through 20. You draw 5 cards without replacement...
There is a deck of cards numbered 1 through 20. You draw 5 cards without replacement (you don't put the cards you draw back in the deck), and lay them on the table from left to right in the order they are drawn. 1.How many possible outcomes are there? 2.What is the probability that the leftmost card will be 10, the center card will be 4 and the rightmost card will be 17? 3.What is the probability that the cards...
(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards....
(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 15 cards in all. What is the probability of drawing at least 5 diamonds? For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation E(X)=( o=
(1 point) Three brothers play a game with a set of cards numbered 1 thru 10,...
(1 point) Three brothers play a game with a set of cards numbered 1 thru 10, they draw two cards with replacement and add the cards values. Scott will win if the sum of the cards is 13, Dave will win if 16, and Jim if 4. They will select 2 cards with replacement, then reshuffle until a winner is declared Part (a) What is the probability that on any particular two-card draw there is no declared winner? If rounding...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue cards numbered 1 through 5; and two green cards numbered 1 and 2, respectively. Find the following probabilities (with replacement). Give your answers as fractions. a. P(Blue) = b. With one draw, P(Blue and Even) = c. With one draw, P(Blue or Even) = d. With one draw, P(Red Even) = e. With one draw, P(Even/Red) = f. With two draws, P(first card Green...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red cards numbered 1 through 6, s hrough 6. green cards numbered 1 through 6, and six black cards numbered 1 t If one card is selected at random: a) What i, the probability that the card is a ???? b) What is the probability that the card is a four? c) What is the probability that the card is a four or a blue?...
Consider a pack of standard playing cards. A card is drawn at random from the pack....
Consider a pack of standard playing cards. A card is drawn at random from the pack. A card is said to be Royal if it is a Jack, Queen or King.. Let A be the event that the card is a king. Let B be the event that the card is a heart. Lct C be thc event that the card is royal. Lct D be the event that the card is black. Calculate the following probabilities. (2) P(AnB) (3)...
Question A deck of cards contains RED cards numbered 1,2, 3, 4,5 and BLUE cards numbered...
Question A deck of cards contains RED cards numbered 1,2, 3, 4,5 and BLUE cards numbered 1, 2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 5 is an example of which of the following events? Select all correct answers Select all that apply: □ RORE B AND O...
Consider a random poker hand of 5 cards. Let X be the number of Hearts in...
Consider a random poker hand of 5 cards. Let X be the number of Hearts in this hand, and let y be the number of Diamonds in this hand. Find Cov(X, Y). (Hint: rewriting in terms of indicator functions may be helpful.)
3. Let's take 12 cards, numbered 1 through 12. Test for the independence of the following...
3. Let's take 12 cards, numbered 1 through 12. Test for the independence of the following events: a. Outcome is an odd card and the outcome is 6 b. outcome is an odd card and the outcome lies between 6 and 8, inclusive
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card...
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card is selected from the hand and set aside. Then another card is selected and put with the first card. Let X be the number of black cards drawn from the hand (i.e. set aside) during this process. Find Pr[X = 1) O 0.1 O 0.3 00.4 O 0.5 O 0.6
(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 15 cards in all. What is the probability of drawing at least 5 diamonds? For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation E(X)=( o=
(1 point) Three brothers play a game with a set of cards numbered 1 thru 10, they draw two cards with replacement and add the cards values. Scott will win if the sum of the cards is 13, Dave will win if 16, and Jim if 4. They will select 2 cards with replacement, then reshuffle until a winner is declared Part (a) What is the probability that on any particular two-card draw there is no declared winner? If rounding...
Question 3 6 pts A hat contains four red cards numbered 1 through 4; five blue cards numbered 1 through 5; and two green cards numbered 1 and 2, respectively. Find the following probabilities (with replacement). Give your answers as fractions. a. P(Blue) = b. With one draw, P(Blue and Even) = c. With one draw, P(Blue or Even) = d. With one draw, P(Red Even) = e. With one draw, P(Even/Red) = f. With two draws, P(first card Green...
2) A deck of 24 cards contains six blue cards numbered 1 through 6, six red cards numbered 1 through 6, s hrough 6. green cards numbered 1 through 6, and six black cards numbered 1 t If one card is selected at random: a) What i, the probability that the card is a ???? b) What is the probability that the card is a four? c) What is the probability that the card is a four or a blue?...
Consider a pack of standard playing cards. A card is drawn at random from the pack. A card is said to be Royal if it is a Jack, Queen or King.. Let A be the event that the card is a king. Let B be the event that the card is a heart. Lct C be thc event that the card is royal. Lct D be the event that the card is black. Calculate the following probabilities. (2) P(AnB) (3)...
Question A deck of cards contains RED cards numbered 1,2, 3, 4,5 and BLUE cards numbered 1, 2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 5 is an example of which of the following events? Select all correct answers Select all that apply: □ RORE B AND O...
Consider a random poker hand of 5 cards. Let X be the number of Hearts in this hand, and let y be the number of Diamonds in this hand. Find Cov(X, Y). (Hint: rewriting in terms of indicator functions may be helpful.)
3. Let's take 12 cards, numbered 1 through 12. Test for the independence of the following events: a. Outcome is an odd card and the outcome is 6 b. outcome is an odd card and the outcome lies between 6 and 8, inclusive
Q3 #3 1 Point A hand contains 2 red cards and 3 black cards. A card is selected from the hand and set aside. Then another card is selected and put with the first card. Let X be the number of black cards drawn from the hand (i.e. set aside) during this process. Find Pr[X = 1) O 0.1 O 0.3 00.4 O 0.5 O 0.6
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