A fair die is rolled 6 times. What is the probability of having no 2 and no 3 among the rolls? Round your answer to three decimal places. (If necessary, consult a list of formulas.)

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

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    Here Given  Six sided balanced die…

Q: A fair 6-sided die is rolled three times. What is the probability that all three rolls are 3? Write…

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Q: A couple plans to have 12 children. Assuming that boy and girl births are equally likely. What is…

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Q: Two dice are rolled. Determine the probability of the following. Rolling an even number or a number…

A: Note: Hey there! Thank you for posting the question. For calculating probability, we are considering…

Q: A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the…

A: It is given that the probability of throwing a strike for each curve ball pitch is 0.626. The…

Q: A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4…

A: Givensample size(n)=30p=12 =0.5                (i.e., getting head in a toss)Let "x" be getting…

Q: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the…

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Q: After giving an exam to a group of students, the grades and gender are summarized below. Grades vs.…

A: The contingency table is given as follows:   A B C Row Total Male 6 11 4 21…

Q: A fair die is rolled four times. What is the probability that it comes up  1 at least once? Write…

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Q: A bag contains 43 U.S. quarters and seven Canadian quarters. (The coins are identical in size.) If…

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Q: Peyton rolls a standard die 15 times. What is the probability he rolls a two exactly four times?…

A: Given: Peyton rolls a standard die 15 times Find out the probability he rolls a two exactly four…

Q: The odds of a particular event occurring is 0.66. Determine the probability as a decimal rounded to…

A: We have to find probability.

Q: A die is rolled twice. What is the probability of showing a 6 on both rolls? Your answer is :…

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Q: A regular six sided dice is thrown and a card is drawn at random from a pack of 52. What is the…

A: Here Two events Rolling Dice and Card Drawings Both are Independent Here take  EVENT(A)= ROLLIND DIE…

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Solution: From the given information, a bag contains 46 U.S. quarters and 4 Canadian quarters. Here,…

Q: An urn contains 5 red balls and 9 yellow balls. If Vince chooses 6 balls at random from the urn,…

A: It is given that Number of red balls = 5 Number of yellow balls = 9 Total = 14 Sample size = 6 The…

Q: People with type O-negative blood are universal donors.  That is, any patient can receive a…

A: Obtain the probability that at least one of them is a universal donor.   The probability that at…

Q: A quality control inspector has drawn a sample of 12 light bulbs from a recent production lot. If…

A: # given : sample size n=12  Proportion of defective=20%  The lot will be accepted if no of…

Q: If the odds of winning on a scratch-off lottery ticket are 17:2,834, what is the probability of…

A: From the provided information, The odds of winning on a scratch-off lottery ticket are 17:2834

Q: What is the probability that at least two of five unrelated persons share the same birthday? (Round…

A: Using the complement rule, the probability that at least two people have the same birthday in a…

Q: The below table shows the probabilities generated by rolling one die 50 times and noting the up…

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Q: According to a study conducted by a public health school, a child seated in the front seat who was…

A: Consider the given information.

Q: Given that every twenty-ninth person in line will get a coupon for a free box of popcorn at the…

A: Given that, Every twenty-ninth person in line will get a coupon

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: The sample space for given experiment can be written as: 1,1 1,2 1,3 1,4 1,5 1,6…

Q: In a large population, 66% of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that p = 66% = 0.66 n = 5 Here we will use  binomial distribution P(X = x) = nCx px…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: In a certain college town, 35% of the students failed math, 17% failed chemistry, and 13% failed…

A: Let M be set of students failed in math and C be set of students failed in chemistry. Thus:…

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: A manufacturing machine has a 1% defect rate. If 3 items are chosen at random, what is the…

A: It is given that n = 3 and p = 0.01.

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

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Q: A die is rolled twice. What is the probability of showing a 3 on both rolls? Your answer is :…

A: A die is rolled twice. Then  Sample space…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once? Write your…

A: Givenn=6p=16      (since gettin 2 has 1 chance)x~Binomial(n=6,p=16)P(X=x)=(nx)×px×(1-p)x   ;…

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

A: we know that  A pair of fair dice is rolled then total number of outcomes is. 6 ×6= 36

Q: In a large population, 57% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given p = 57% = 0.57 => q = 1 - p = 1 - 0.57 = 0.43 5 people are randomly selected => n = 5…

Q: Two dice are rolled. Determine the probability of the following. Rolling an even number or a number…

A: We can roll even number if the sums are 2,4, 6, 8, 10, 12 Number greater than 7 are 8,9,10,11,12 So…

Q: A manufacturer finds that 1.5% of its products is defective. What is the probability that one of the…

A: It is given that the random variable X follows Binomial distribution with parameter p = 1.5% = 0.015…

Q: There are 14 red marbles, 9 white, and 10 black marbles in a box. What is the probability of…

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Q: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the…

A: Number of spade n(S)= 13  Number of club n(C) = 13 Total cards n(T) = 52   It is given that the…

Q: A card is drawn randomly from a deck of ordinary playing cards. What is the probability that the…

A: no.of club cards=13no.of king cards=4no.of club and king cards=1Total no.of cards=52

Q: A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If…

A: Consider X as the number of successes (the lot passes inspection) out of the n = 19 light bulbs.…

Q: A factory produces candies, and 27% are blue. In the factory, the candies are randomly mixed…

A: Here we will use the concept of Binomial distribution  The PMF of the Binomial distribution is given…

Q: What is the probability that a registered voter voted in the election? About About 3,182,436 voted…

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Q: a couple plans to have 10 children. assuming that boy and girl births are equally likely. what is…

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Q: The probability that event AA will occur is P(A)=P(A)=0.72. What is the probability (in decimal…

A: Given,The probability that event A will occur is P(A) = 0.72The probability that event A will not…

Q: According to a study conducted by a public health school, a child seated in the front seat who was…

A:

Q: seat who was wearing a seatbelt was 33% more likely to be killed in an accident if the car had an…

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Q: A twenty-sided die is rolled once. What is the probability of rolling a 20? (Round

A: Probability is the chance of occurrence for an event. It takes values from 0 to 1. According to the…

Q: (a) What is the probability that a sampled woman has four children? Round your answer to four…

A: Given data is  No.of children No.of women 0 12598 1 7467 2 11269 3 7038 4 3782 5 1820…