Suppose that a single die with 6 sides (numbered 1, 2, 3, ..., 6) is rolled twice. What is the probability that the sum of the two rolls equal 6?

Q: Suppose that a balanced die is tossed once. What is the probability that die lands on 1, given that…

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Q: The probability that a face card is   ​selected, given that a queen is   selected is

A: Note that queen is a face card itself. So if a queen is selected then we obviously get a face card.…

Q: What is the probability that 6 rolls of a fair die will show 4 exactly 2 times

A: Let us consider success as the die showing up 4. Then, p=p(Success)=16. Let X be the number of times…

Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

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

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Q: when a die is rolled, what is the probability that a four will appear on the top face?

A: We have given that when a die is rolled, the sample space isS = {1, 2, 3, 4, 5, 6 }

Q: A Coin and a Die are tossed together, what is the Probability that a Head e on the Coin and number 5…

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Q: A poll is given showing 80% are in favor of a new project if 5 people are chosen at random, what…

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Q: Suppose you roll a special 21-sided die. What is the probability that the number rolled is a "1" OR…

A: Given: A 21-sided die is rolled.

Q: What is the probability that no two boys are sitting together for a photograph if there are 5 girls…

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Q: A fair, six-sided die is rolled 5 times. What is the probability of rolling a 3 on just one of the…

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Q: What is the probability of getting the first "three" in the 6' roll?

A: here given, balanced 6 sided die rolled , here use geometric distribution

Q: In one lottery a player wins the jackpot by matching all five numbers drawn from white balls (1…

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Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: What is the probability that a student selected at random from the class is Married

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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 you roll a special 22-sided die. What is the probability that the number rolled is a "1" OR…

A: In a 22-sided die, there are 22 outcomes, such that, 1, 2, 3, …., 21, 22.

Q: What is the probability of getting at least one 6 on three rolls of a die?

A: It is an important part of statistics. It is widely used.

Q: Suppose you roll a special 38-sided die. What is the probability that the number rolled is a "1" OR…

A: Given information- We have given a special die of 38-sided. We have to find the probability of…

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: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: Suppose you roll a special &8-sided die. What is the probability that the number rolled is a "1" OR…

A: The outcomes for the 8-sided die are (1 2, 3, 4, 5, 6, 7, 8)   That is, the total number of outcomes…

Q: Suppose that one ball is drawn from a bag containing 4 red balls numbered 1, 2, 3, 4 and 3 white…

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Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls, If a single ball is…

A: Total number of balls =7+2+4+3 =16.If the ball is neither yellow nor blue, then it will be either…

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without…

A: There are total (2+5+4)=11 balls in the urn. We can draw the first red from 11 balls in 2 ways We…

Q: A class has exactly 5 students. What is the probability that exact 3 of those studnets were born on…

A: We have to find given probability.

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

Q: What is the probability that a 6 is obtained on one of the dice in a throw of two dice, given that…

A: From the provided information, Two dice are thrown. Total outcomes = 36

Q: What is the probability of rolling a number less than 4 or an odd # on a single di?

A: We have to calculate the probability of rolling a number less than 4 or an odd on a single die

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: Suppose a balanced six-sided die is rolled. i. What is the probability of getting the first "three"…

A: For geometric distribution, there are four requirements need to be fulfilled. These requirements are…

Q: In a box, there are 8 orange, 7 white, and 6 blue balls. If a ball is picked up randomly, what is…

A: Given info: In the box, there are 8 orange, 7 white, and 6 blue balls.

Q: If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting…

A: We have to find given probability....

Q: A pair of dice is rolled. What is the probability that the sum will come up to be an even number and…

A: Favourable outcome of getting an even sum on the two dice given that one of them is 6 is given by =…

Q: What is the probability of rolling a two on the first die and a three on the second die?

A: Two dies are rolled.

Q: A fair die is rolled four times. What is the probability of obtaining a 5, 3, 5, and 5, in that​…

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Q: Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a…

A: From the provided information, A special 9-sided die is roll. Total outcomes = 9

Q: . Suppose an ordinary six-sided die is rolled repeatedly and the outcome is noted on each roll. What…

A: Given :  X is a random variable shows the number of trials until third 6 occur.

Q: Suppose you roll a special 45-sided die. What is the probability that the number rolled is a "1" OR…

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Q: A six-sided die is rolled. If the number of dots that comes up is odd. What is the probability that…

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Q: Suppose that 25% of all students on campus wear glasses. If two students are chosen at random, what…

A: Given,25% of all students on campus wear glassessample size(n)=2

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: If a single die is rolled four times, what is the probability it lands on 4 on the first, second,…

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