Suppose that we have 100 standard fair 52-card decks. We mix them together. Now, we have 5200 cards. We now draw three cards without replacement. What is the exact probability of getting three black cards? What is the binomial approximation to this probability?

Q: Dan tosses a fair pyramid die that has four sides 7 times. What is the probability he rolls all…

A: Person D tosses a fair pyramid die that has four sides, 7 times.

Q: A survey found that 70% of all Americans believe Alexander Hamilton was once the president of the…

A:

Q: What is the probability of being dealt aces over kings (3 aces and 2 kings) when playing 5-card draw…

A: The number of ace cards in a deck of cards is 4 and the number of kings is 4.

Q: A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. Suppose you pick 5 balls at random.…

A: Let us denote X=number of golf balls We have to find P(X≤2)=P(X=0)+P(X=1)+P(X=2)   X=0: we can pick…

Q: 6. Find the probability that a person tossing 3 coins will get either all heads or all tails for the…

A: Given data: Find the probability that a person tossing 3 coins will get either all heads or all…

Q: Suppose that you flip a coin 14 times. What is the probability that you achieve at least 6 tails?

A: Let us denote X=the number of tails. n=sample size= 14 p=probability of success= 12=0.5 X follows a…

Q: Draw 3 cards at random from a fully shuffled deck with replacement (meaning that you return the…

A:

Q: A family with 6 children, 3 boys and 3 girls, is there a probability that the number of boys is less…

A: There are 6 children in a family. Of which 3 are boys and 3 are girls. So, Pboy=Pgirl=12

Q: A drug is effective in nine cases out of ten. If it is tested on 12 patients, what is the…

A:

Q: A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and…

A:

Q: If the first urn has 7 blue balls and 3 red balls, the second urn has 7 blue balls and 3 red balls,…

A: To find the probability of drawing at most 2 red balls, we can calculate the probability of drawing…

Q: Q) A fair die rolled 4 times. what is probability of geeting atleast one 2 on the four rolles.…

A: Given, The dice is rolled 4 times Here, q is the probability of obtaining 2 as the dice is rolled…

Q: A box has 3 white balls, 6 black balls, and 7 red balls. If someone select a ball randomly, what is…

A: Given: White balls=3 Black balls=6 Red balls=7 Total number of balls(n)=3+6+7…

Q: With a standard of 52 deck cards find the probability to withdraw first time a face card and a…

A: As per given by the question, there are 52-deck cards. Find the probability to withdraw first time a…

Q: a man has n keys that one will open the door. if he randomly tries the keys, discarding those that…

A: Solution:

Q: A slot machine at a hotel is configured so that there is a 1/1400 probability of winning the jackpot…

A:

Q: Nine stranger are put in a room. There is 50% probability that any two random people in the room…

A:

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

A:

Q: Suppose a coin is flipped 3 times. What is the probability of getting two tails and one head?

A:

Q: Suppose you roll a 9-sided fair die until you roll a "1".  What is the probability that this takes…

A: Given that, We are rolling 9 sided side  Probablity of getting 1 is 1/9 Then probablity of getting…

Q: What is the probability of flipping 3 coins on the same side, that is getting either all heads or…

A: if three coins are than the possible outcomes are 8HHT,HTH,THH,HTT,THT,TTH,TTT,HHH

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: You draw 3 letters from a hat (A - Z) at random without replacement, and write them in the order…

A: Given: Number of letters  = 26 Number of letters chosen = 3

Q: If a six member ethics committee is chosen at random from 20 state representatives of which 1 are…

A: It is given that No. of Republicans = 12No. of Democrats = 8Total members = 20

Q: Suppose that there are 2 defective pens in a box of 12 pens. If we choose 3 pens at random, what is…

A: If p represent the probability of an event and q represent the probability of happening of the…

Q: There are 11 different keys in the bag and you open the door with only 3 of them. Find the…

A:

Q: 10. Assume that a lottery was conducted in a small office and only 10 tickets were sold; you and a…

A: Total Tickets available = 10 2 winners are selected First we will select the first prize , then…

Q: One drawer in a dresser contains 8 blue socks and 6 white socks. A second drawer contains 4 blue…

A: In first drawer:no.of blue socks=8no.of white socks=6Total no.of socks=14In 2nd drawer:no.of blue…

Q: What is the probability of flipping 4 coins and having exactly 3 of them land on tails? 1/16, 2/16,…

A: the total number of possible combinations in flipping 4 coins  is 16  the total possible events of…

Q: 2. You have created a 6-digit password for your computer. Your brother tries to break in to your…

A: Given that you have created a 6-digit password for your computer. Your brother tries to break in to…

Q: In a bag full of 10 marbles, 5 are yellow, 3 are blue and 2 are green. An individual picks two from…

A: A bag full of 10 marbles of which 5 are yellow, 3 are blue and 2 are green.It is given that the…

Q: uppose that you flip a coin 14 times. What is the probability that you achieve at least 5 tails?

A: given data, flip a coin 14 timesn=14p(head)=p=0.50p(tail)=q=1-0.50=0.50x= no. of tails probability…

Q: There are 10 lightbulbs and 2 of them are defective. You test the lightbulbs one by one until you…

A:

Q: Suppose that you flip a coin 11 times. What is the probability that you achieve at least 6 tails?

A: Givenn=11p=probability of getting tail in a flip = 12=0.5Let "x" be getting tail…

Q: committee of 8 is to be formed from a group of 7 mothers, 6 fathers, and 8 children. What is the…

A: Total member = 7 + 6 + 8 = 21Committee formed of member = 8

Q: Suppose 57% of the students at UNCG are female. What is the probability of getting 40 or fewer males…

A: From the provided information, 57% of the students at UNCG are female. Probability of male student…

Q: standard deck with 50 cards — 25 red and 25 black — is shuffled. The probability that the top card…

A: 50 cards in a deck are shuffled. Among those 50 cards 25 are red and 25 are black. Total number of…

Q: Suppose that you flip a coin 11 times. What is the probability that you achieve at least 4 tails?

A:

Q: Suppose that you flip a coin 13 times. What is the probability that you achieve at least 6 tails?

A: Given Information: Suppose that you flip a coin 13 times.  i.e., n=13 To find the probability that…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.