A person randomly picks one of the numbers 1, 2 or 3, with identical probability each, and then rolls a balanced die as many times as the chosen number indicates. Finally, add up the results of the rolls of the die. Calculate the probability that the number 2 was chosen given that the sum of the rolls of the die is 8.

Q: If you are dealt 33 cards from a shuffled deck of 52​ cards, find the probability of getting one…

A: To calculate the required probability

Q: At a members-only club, 58% of the members play poker and drink whiskey and 77% play poker. If a…

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Q: A person takes at random one of the numbers 1, 2 or 3, with equal probability each of them, and then…

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Q: The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are not…

A: Given The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are…

Q: If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g.

A: Let X denote the weights of certain brabd of candies. Given that X follows N(mean = 0.8551, SD =…

Q: If one Person is selected at random from the sample of 157, 330 Americans find a probability that…

A: Given: The contingency table given is as follows   Emotionally well off  Emotionally not well off…

Q: If one student is chosen at random, find the probability that the student was male OR received a…

A: Given that Total number of students = 73 Number of males = 33 Number of students with grade B = 35

Q: If one student is chosen at random, Find the probability that the student was male OR got an "B".

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Q: If one student is chosen at random, Find the probability that the student was female: Find the…

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Q: For a particular couple expecting their first child, the probability the child will have blueeyes is…

A: It is given that particular couple expecting their first child, the probability that the child will…

Q: If 85% of all people have brown eyes and 6 people are selected at random, find the probability that…

A: From the provided information, Sample size (n) = 6 85% of all people have brown eyes that is (p) =…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 7

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Q: A student guesses on all 12 questions of a multiple choice quiz with 5 answer choices for each…

A: From the provided information, Probability of correct answer (p) = 1/5 = 0.2 Number of questions (n)…

Q: Each of the two players, A and B, get 26 cards at random. Find the probability that each player has…

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Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

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Q: If a die is rolled one time, find the probability of getting a 5 or an odd number.

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Q: ind the probability that in a randomly selected office hour, the number of student arrivals is 66.

A: A statistics professor finds that when he schedules an office hour for student help, an average of 3…

Q: If a dice is thrown twice, find the probability of getting two 5’

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Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

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Q: Two dies are rolled, find the probability that the sum of the two numbers is greater than 15. 15…

A: (1) Two fair dies are rolled simultaneously, Sample space, S=1,2,3,4,5,6×1,2,3,4,5,6 Sum is greater…

Q: If there are 400 errors in a book of 1000 pages, find the probability that a rando chosen page from…

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Q: Two die is rolled, find the probability that the number obtained is greater than 5.

A: Know that  Total sample space =S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 1

A: We have to find sum

Q: If one of the 255 subjects is randomly selected, find the probability that the person is over 40…

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Q: A student and a professor each choose a number between 1and 9. What is the probability that the two…

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Q: If the probability that you get a grade of "A" in this class is 90%, find the probability that you…

A: Given information Probability that you get a grade of "A" in this class p = 0.90

Q: A single die is rolled twice. The 36 equally-outcomes are shown in the picture. Find the probability…

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Q: If two points are randomly chosen on the sides of the unit square, find the probability that the two…

A: Let's just take a random point on any 1 side of the square. Let this side be side a. Given that the…

Q: If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 221 lb.

A: Let X denote the weights of women. Given that X follows N(mean = 172, SD = 37), then Z = (X -…

Q: If two dice are rolled, find the probability that neither die shows a 5 on it. Probability

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Q: Find the probability that when a couple has three children at least one of them is a girl.

A: Solution: Let X be the number of children are girls and n be the sample number of children.

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: If 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given, 30 tickets are sold And there are 3 winning prizes.

Q: You roll a die five times. What is the probability that you will see a string of three or more…

A: Given data: *The die is rolled 5 times, n=5. The probability of getting one (success) when a one die…

Q: If a single fair die is​ rolled, find the probability of a 5 given that the number rolled is odd.

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Q: A pair of die is rolled and the sum of the numbers is noted. Find the probability that one die…

A: Conditional rule:The formula for probability of A given B is,

Q: If three people are selected at random, find the probability that at least two of them have the same…

A: Given: Three people are selected at random. The objective is to find the probability that at least…

Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: In a blood testing​ procedure, blood samples from 5 people are combined into one mixture. The…

A:

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9,given that the sum…

A: Given: Two fair dice are rolled. The objective is to find the probability that the sum of the dice…

Q: Suppose a jar contains 16 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

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Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A: There are 28 possible sums for three digits, but they are not equiprobable. Let’s analize first this…

Q: If one of the 1156 people is randomly selected, find the probability that the person is a man or a…

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Q: is randomly selected, find the probability that the person oker given the person is a woman.

A:

Q: Between the hours 2 P.M. and 4 P.M., the average number of phone calls per minute coming into the…

A: Average number of phone calls coming into the switchboard of a company , λ =  2.35 It represents a…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9 given that the sum…

A: Given that the sum is greater than 6.  So the sample space for this is: (1,6) , (2,5) , (2,6) ,…

Q: The probability that a regularly scheduled flight departs in time is 0.83, the probability that it…

A: Given: The probability that a regularly scheduled flight departs in time is 0.83 The probability…

Q: Find the probability that the arrow will land on 5 or 4

A: Total number of digits in the wheel = 5 Digits = 1, 2, 3, 4, 5 Number of "1" digit number = 1 Number…