a poker hand is defined as drawing five cards at random without replacement from a deck of 52 playing cards. find the probability of each of the following poker hands: four of a kind, full house, three of a kind, two pairs, one pair

Q: A committee of four people will be selected among a group of 15 engineers. The committee will have…

A: 15-engineers4 positions : President                       Secretary                       Treasurer…

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

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Q: Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the…

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Q: Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that the…

A: The provided information is There are 52 cards of deck. We find the probability the 2-card hand…

Q: n a fish tank, there are 27 goldfish, 4 angelfish, and 16 guppies. If a fish is selected at random,…

A: A is an event of n equally likely outcomes of an experiment. If n(A) is the number of events…

Q: One card is drawn at random from a 52-card bridge deck. Find the probability of getting a King.

A: The given problem is probability. There is one deck of cards that is 52 cards in one deck. We have…

Q: There are 14 marbles in a bag: 4 red, 8 orange, 6 green, and 2 blue. A marble is picked a random.…

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Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing the following…

A: Numbers of card in the deck is 52.

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 each freshmen and sophomores, 15 juniors, and 18 seniorsTotal=71

Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting 2,…

A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…

Q: A single card is drawn from a deck. Find the probability that the card is either red or a face card.

A: Given a single card is drawn from a deck. To find the probability that the card is either red or…

Q: A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the…

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: Given a deck of cards of cards.  Choose five cards without replacement.  Determine the probability…

A: In a given deck of 52 cards, the objective is to find the probability that of the obtained 5 cards…

Q: Two cards are selected from a deck of standard deck of 52 cards. The first card is not replaced…

A: There are 52 cards in a standard deck of cards.  We can select 2 cards from 52 cards in 52P2=2652…

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given,Number of freshmen player, n(freshmen)= 13Number of sophomores player, n(sophomores) =…

Q: On a shelf at a gaming store, there are five Sony Playstations and nine Nintendo Wii consoles left.…

A: We have given that On a shelf at a gaming store  Number of Sony Playstations = 5 Number of Nintendo…

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a heart…

A: A standard deck of cards contains foursuits of 13 spades, 13 clubs, 13 hearts and13 diamonds.

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a four.

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Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

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Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

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Q: Four cards are drawn at random from a pack. Find the probability that they are a King, a Queen, a…

A: Since we know that in standard pack of card there are 52 cards  And in standard deck of 52 cards…

Q: If four cards are drawn, each card is replaced after it is drawn. Find the probability of getting at…

A: Number of Kings in the deck= 4 Here i am doing without replacement  If 4 cards are drawn without…

Q: Given a standard deck of fifty-two playing cards (no jokers and Aces high), find the probability of…

A: Total face card in a deck of fifty-two playing cards = 12

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a…

A: There are 26 black cards in the deck (13 spades and 13 clubs), and there are four 5s in the deck (5…