You take 2 cards - without replacement - from a deck of cards. What is the...

You take 2 cards - without replacement - from a deck of cards. What is the probability of at least one ace and at least one spade?

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Three cards are drawn from a deck of 52 cards without replacement. (a) What is the...

Three cards are drawn from a deck of 52 cards without replacement. (a) What is the probability that the third card is a spade (♠) given that the first card is a spade? (b) What is the probability that all cards are spades given that at least one of them is a spade? (c) Let Y be the number of black cards drawn. What is the probability that all 3 cards are black given that the first card is a...

Three cards are drawn from a deck of 52 cards without replacement. (a) What is the...

Three cards are drawn from a deck of 52 cards without replacement. (a) What is the probability that the third card is a spade (♠) given that the first card is a spade? (b) What is the probability that all cards are spades given that at least one of them is a spade? (c) Let Y be the number of black cards drawn. What is the probability that all 3 cards are black given that the first card is a...

if 4 cards are randomly selected without replacement from a deck of cards, what is the...

if 4 cards are randomly selected without replacement from a deck of cards, what is the probability of getting at least one ace ( exact reduced fraction or decimal or round to 3 significant digits)?

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards....

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards. a) If the first card that you select is NOT a heart, what is the probability that the second card that you select IS a heart? b) If the first card that you select IS a six, what is the probability that the second card that you select IS a diamond? PLEASE SHOW ALL WORK

Question 2. Draw three cards without replacement from a deck of cards and let X be...

Question 2. Draw three cards without replacement from a deck of cards and let X be the number of spades drawn. Sketch the pmf of X and compute E(X). Question 3. A fair coin is flipped n times. What is the probability of getting a total of k heads if a) The first flip shows heads b) The first flip shows tails c) At least one flip shows heads

From shuffled deck of cards, 4 cards are randomly selected without replacement from shuffled deck of...

From shuffled deck of cards, 4 cards are randomly selected without replacement from shuffled deck of 52 cards. What is the probability to get at least one ace?

Assume that 2 cards are drawn in succession and without replacement from a standard deck of...

Assume that 2 cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the following occurs. (Enter your probability as a fraction.) The second card is a 2, given that the first card was a 2.

Suppose three cards are drawn without replacement from a standard deck of cards. A standard deck...

Suppose three cards are drawn without replacement from a standard deck of cards. A standard deck of cards contains 52 cards, each card is one of 4 types (hearts, diamonds, spades, clubs) and cards within each type are labelled 2, 3, 4, …, 10, J, Q, K, A. Compute the probability for each of the following. a. All three cards selected is a Heart. b. All three cards selected is a King. c. None of the three cards is either...

draw 20 cards without replacement from a shuffled, standard deck of 52 cards. What is the...

draw 20 cards without replacement from a shuffled, standard deck of 52 cards. What is the conditional probability P (12th card and 20th card is a heart 3rd card is a club)

You draw two cards from a standard deck without replacement and without looking at them. Then...

You draw two cards from a standard deck without replacement and without looking at them. Then the third card is drawn and it is revealed: it is the ace of hearts. What is the conditional probability that your two cards, formerly hidden, are aces?

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You take 2 cards - without replacement - from a deck of cards. What is the...

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