Suppose a card is selected from an ordinary deck of cards and then replaced. If this process is repeated 15 times, what is the probability that 6 of the selected cards were spades? Round your answer to four decimal places.

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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Q: suppose you toss a coin 100 times and get 95 heads and five tails. what is the estimated probability…

A: Solution

Q: From a well-shuffled deck of ordinary playing cards, four cards are turnedover one at a time without…

A: A well shuffled deck of card contains 52 cards of which 26 cards are red and  13 card are spades.…

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: If two cards are drawn without replacement, what is the probability that the first card is a black…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: What is the probability two people in a classroom of 25 have the same birthday?

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Q: What is the probability that if you roll a die 6 times, you will get a 2 on the 6th try?

A: The sample space for rolling a dice is {1,2,3,4,5,6} probability of getting 2 is 16 Probability of…

Q: You are pulling from a bag containing 9 blue marbles, 8 black marbles, 8 green marbles, and 3 yellow…

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Q: Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability…

A: The arrangements of 3 six's among 10 results of dice will form the sample space of the random…

Q: A nurse has found that persons calling a medical advice line who think they have the flu, only…

A: Solution: Let X be the number of callers actually have the flu and n be the sample number of…

Q: A coin is tossed four times. What is the probability that tails appears on all four tosses?

A: Given data: The number of times a coin tossed is n=4. The expression for the total number of…

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card…

A: A card is randomly selected from well-shuffled standard deck of 52 cards. There are 13 cards of club…

Q: In a large population, 57% of the people have been vaccinated. If 3 people are randomly selected,…

A: Obtain the probability that that at least one of them has been vaccinated. The probability that that…

Q: If we roll an ordinary, six-sided die eight times in a row, what is the probability that at least…

A: Given: Number of times the die rolled is, n=8. The objective is to find the probability of at…

Q: Suppose we randomly draw one card from a standard 52-card deck. What is the probability that we draw…

A: We have given that  There are 52 card in the deck in which they divided into two color i.e red(26)…

Q: A coin is flipped three times. If heads appears exaclty once, what is the probability that it…

A: The possible outcomes when a coin is flipped three times is,

Q: What is the probability of drawing 2 cards in succession (without replacement) from a standard deck…

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Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: Approximately 16% of people are left-handed. If two people are selected at random, what is the…

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Q: What is the probability that in four births exactly two girls will be born?

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: A survey found that one out of five Americans say he or she has visited a doctor in any given month.…

A: From the provided information, Sample size (n) = 10 Probability of Americans who visited a doctor in…

Q: Suppose you draw five cards (without replacement) from a standard deck of 52 playing cards. What…

A: The total cards in a standard deck = 52 Total ace = 4

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: If a person draws five cards from a standard deck (without replacing them), what is the probability…

A: The standard deck contains 52 cards in which 12 face cards. Number of ways 5 cards are drawn from a…

Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: In a certain congressional district, it is known that 20% of the registered voters classify…

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Q: If a person is randomly chosen from the town's population, what is the probability that the person…

A: The data is given by Age Full-time  Part-time Unemployed Total 0-17 24 164 371 559 18-25 185…

Q: Approximately 9% of people are left-handed. If two people are selected at random, what is the…

A: According to the provided information, P(people are left-handed) =0.09 P(people are right-handed)…

Q: In a large population, 59 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given Data Probability of success,p = 0.59 Probability of failure,q=(1- 0.59 )= 0.41…

Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…

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Q: or the fiscal year​ 2007, a tax authority audited 1.74​% of individual tax returns with income of​…

A: It is given that the probability that a randomly selected individual for audit will have income…

Q: A fair coin is flipped 16 times. What is the probability that exactly 8 heads​ appear?

A: Given,n=16p=P(getting a head)=12 X=getting no.of headsP(X=x)=cxn px(1-p)n-x ; x=0,1,2,3.....n

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: If two cards are randomly drawn from a standard 52-card deck, what is the probability that the first…

A: Case ( i ) Two cards are selected at random from a deck of 52 cards WITHOUT replacement. The first…

Q: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?

A: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6…

Q: A fair six sided die is rolled six times. What is the probability that the die will show either a 1…

A: fair dice has 6 faces with equal probability of each face to shown when tossed.

Q: If a person draws four cards from a standard deck (without replacing them), what is the probability…

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Q: You are in a 12-member panel. If two people from the panel are selected to represent the panel, what…

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Q: What is the probability that in three consecutive rolls of two fair dice, a person gets a total of…

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Q: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

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Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

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Q: Suppose 42% of the banks in Switzerland are private organizations.   If a sample of 442 banks is…

A: It is known that, the mean of the sampling distribution of p-hat is equal to the population…

Q: A company that makes remote control aeroplanes believes that 6% of purchased planes are returned…

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Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…

Q: In a mobile network company, one in every seven subscribers is in a conversation with other…

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Q: In a mobile network company, one in every seven subscribers is in a conversation with other…

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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.