A bridge hand consists of 13 cards picked at random from a complete deck of 52 cards.(a) Determine the probability of having a hand containing at most 2 aces.(b)  Determine the probability of having a hand containing exactly 4 kings, 4queens, and 5 hearts.

Q: Select two cards without replacement from a 52- card deck. Find the probability that a. both cards…

A: a. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A),…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

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Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

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Q: Denni has 15 coins in his pocket, and 6 of them are toonies. He reaches into his pocket and pulls…

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Q: A box1 contains 9 red and 6 black balls. Another box2 contains 4 red and 5 black balls. One ball is…

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Q: Find the probability of selecting  4  science books and  5  math books from  7  science books and…

A: The total number of science books is 7 and the total number of math books is 9.

Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is…

A: bag 1   4 red , 3 black =7 total balls     bag 2  2 red ,4 black = 6 total balls     select 1 bag at…

Q: Determine the probability of drawing an ace from a full pack of cards.

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Q: A box contains 5 red marbles, 6 white marbles, and 8 blue marbles. If a marble randomly selected…

A: Given that Red marble = 5 White marble = 6 Blue marble = 8 Total marble = 6 + 5 + 8  = 19

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 selected from a well – shuffled deck of 52 cards. Find the probability of get (i) a jack…

A: Total number of cards =  52 = n(S)

Q: You are dealt a hand of 13 cards, find the probability that you have 4 hearts, 3 spades, 5 diamonds…

A: Given that  Total number of cards=52 Number of hearts cards=13 Number of spades cards=13 Number of…

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

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: What is the probability of getting three queens if you are to draw three cards in a standard deck?

A: We know that standard deck of cards contains 52 cards Out of those 52 cards, 4 are queen cards…

Q: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

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Q: A school district purchases 200 surface pros, 150 macbooks, and 150 chromebooks. The district…

A: According to the classical definition of probability, Probability of an event E=Number of favourable…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

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Q: Two cards are randomly drawn from a deck of 52playing cards. Find the probability that both cards…

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Q: A bowl contains 3 red chips and 4 white chips. Three chips are drawn from the bowl. What is the…

A: Given Information: There are 3 red chips and 4 white chips. Three chips are drawn from the bowl. The…

Q: What would the probability of selecting all 5 cards to be a Diamond or a Club

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: four people are selected for a committee from 6 Democrats and 4 Republicans. What is the probability…

A: The given question is based on permutation and combination Given: n=10 Democrats=6 Republicans=4 4…

Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: Two boxes are selected randomly. The first box contains 2 white balls and 3 black balls. The second…

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Q: Find the probability of drawing a black king and black queen from well shuffled deck of 52 cards.

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Q: An jar contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color…

A: Given that  Total balls=3+2+5=10 Red balls=3 , Blue balls=2 , White balls=5

Q: A box contains 4 white, 2 red and 4 black balls. Another contains 1 white, 4 red and 3 black balls.…

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Q: A committee of 5 people is to be formed from 12 males and 15 females. Determine the probability that…

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Q: A box1 contains 9 red and 7 black balls. Another box2 contains 6 red and 4 black balls. One ball is…

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Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Calculate the probability of David winning the game contest if they are 18 boys and 15 girls…

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Q: A varsity hockey team has 7 juniors and 40 seniors.  The coach needs to pick 7 players to play a…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: A desk drawer contains: 4 pairs of scissors, 10 paperclips, 5 rubberbands, 6 pens, 8 pencils, and 2…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.