3 Two cards are drawn from a deck of 52 cards, with replacement. (This means that one personchooses a card, looks at it, and returns it, and then another person chooses a card, looks at it,and returns it.)Find the probability that:The first card is an ace and the second card is black.Both cards are spadesNeither card has a value from 2,3,4,5At least one card is an acee. If the two cards are drawn without replacement (i.e., first card drawn out is not put backbefore drawing second card), find the probabilities of that both cards are spades.

From the given statement, the two cards are drawn from a deck of 52 cards, with replacement.

Answered: 3 Two cards are drawn from a deck of 52…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Charlie draws five cards out of a deck of 52. If he gets at least three of one suit,he discards the cards not of that suit and then draws until he again has five cards. For example, if he gets three hearts, one club, and one spade, he throws the two non hearts away and draws two more. What is the probability he will end up with five cards of the same suit?
A pet store has 12 puppies, including 4 poodles, 4 terriers, and 4 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle. The probability is (Type an integer or a fraction.)
Two players, A and B, alternately and independently flip a coin for a game. The game has up to a total of 5 flips and the first player to obtain a head wins. Assume player A flips first. The coin is unfair with P(head) = 2/3. Find the probability that player A wins
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Suppose you have an urn containing 3 red and 3 blue balls. You draw three balls at random. On each draw, if the ball is red you set it aside and if the ball is blue you put it back in the urn. What is the probability that the third draw is blue? (If you get a blue ball it counts as a draw even though you put it back in the urn.) O a. 1/125 O b. 267/500 O . 27/136 O d. 27/125 O e. 121/200
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A deck consists of playing cards that can have one of 16 suits and one of 5 ranks. A hand is a set of five cards randomly selected from the deck. How many hands are a four of a kind (four cards with the same rank but different suits, and a fifth card that is a different rank from the other four)? What is the probability of the hand being a four of a kind?
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