Only 4 hearts, 6 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient playing cards. Suppose on every single turn, you randomly select a card from the set of these 12 cards, see it and put it back in the deck. Let's say, you do this 6 times. a. What is the probability that you get exactly 4 clubs after 6 turns? b. What is the probability that you pick more than 3 clubs after 6 turns? c. What is the mean number of hearts picked after 60 turns? d. What is the standard deviation of the number of spades picked after 36 turns?

Q: If you were to select one card randomly from a single deck of 52 card what is the probability of…

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Q: You get a box of twelve chocolates, of three kinds: six Plain, four Coconut, and two Cashew. Draw…

A: Distribution of chocolates is given as, Plain Chocolates=6Coconut Chocolates=4Cashew…

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A: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.

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A: Given A jar contains 10 red marbles, 6 green marbles, 13 blue marbles.

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

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Q: There are 20 black cards, 10 red cards, 12 yellow cards, and 8 green cards on the table.  What is…

A: Given,no.of black cards=20no.of red cards=10no.of yellow cards=12no.of green cards=8Total no.of…

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 4 white and 1 black, 3rd – 2 white…

A: E1: Box 1 P(E1) = 1/3 E2: Box 2 P(E2) = 1/3 E3: Box 3 P(E3) = 1/3 A: The ball is white P(A|E1) = 2/3…

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

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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: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A teacher has 30 students in their class, including 15 girls and 15 boys. If the teacher selects a…

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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: open up a bag of M&M's to discover 48 pieces of chocolate. 11 of the pieces are blue. If I…

A: Total chocolate are 48 11 pieces are blue

Q: Find the probability of pulling a king in a deck of cards (poker cards)?

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Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

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Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

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

Q: Suppose one card is drawn randomly from a deck of 52 cards. What is the probability of getting a…

A: Answer: From the given data, Total number of cards in a deck = 52 If one card is drawn randomly,

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

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

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Q: A bowl contains 6 yellow, 5 blue, and 9 red balls. One ball is removed from the box and it is not…

A: In this context, it is given that the box contains 6 yellow, 5 blue, and 9 red balls. The event of…

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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: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: In the game of poker 5 cards are drawn from a pack of 52 well-shuffled cards. Find the probability…

A: It is known that Total cards in a deck = 52 Number of aces = 4 Sample size = 5

Q: What is the probability of getting at least one 4 when you throw 2 dice?

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Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

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Q: In an average year in Las Vegas, there are 5 fires. a. What is the probability that there'll 8 fires…

A: Given problem Given that   a)

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A: Topic = Probability

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Q: A card is randomly selected from a deck of an ordinary cards.what is the probability that the card…

A: Given: number of cards(n)=52number of spades cards (s)=13Number of less than 5 (y )=16…

Q: There are 100 balls in a container. 30 of them are red, 50 blue, and 20 green.  We randomly select a…

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