A problem in statistics is given to three students A, B and C whose enhances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved ?

Q: This problem involves students who have taken Calculus in high school. Assume that 15 percent of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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: What is the probability that she will roll a number less than 3

A: Here cube is numbered from 1 to 6 So Total possible outcomes  1,2,3,4,5,6 That is total no of…

Q: If n = 6 and n = 0.40, what is the probability that X > 1?

A: 4) Answer: Given n = 6 , p =0.40 Using binomial probability nCx x px (1-p)n-x  P(X>1) = 0.76672…

Q: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three…

A: Here given joint distribution table for x and y X = no of cars Y = no. Of buses

Q: 13. The probability of passing a 100 problem test is 49%. If 5 people take the test, what is the…

A: We have given that,  X be the random variable from Binomial distribution with trails n= 5 and…

Q: If you select a three-digit number at random, what is the probability that the units digit is 7?…

A: We have to find the probability that the units digit is 7 and probability that the hundreds digit is…

Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

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Q: If you roll three (six sided) dice, what is the probability that all three will show a 6? Leave your…

A: Obtain the probability that all three will show a 6. The probability that all three will show a 6 is…

Q: A problem in probability is given to three reviewees of mega, whose chances of solving it are 1/3,…

A: We have given that Let A , B, and C be the probability of solving => P(A) = 1/3      P(B) = 1/5…

Q: In rolling the dice two times, the probability that the sum of the two appearing numbers is greater…

A: to find the probability of getting sum greater than 12 on rolling the dice two times

Q: The probability that a patient recovers from a rare deadly disease is 40% . If 15 people are known…

A: Given: Probability of survive is, p=40%=0.40. Total number of people is, n=15. The objective is,…

Q: A problem in statistics is given to five students A, 3, C, D and E. Their chances of solving it are…

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Q: In the collaboration problem about the mathematician that carries chalk in her pockets, suppose her…

A: Since the number of chalks in each pocket are different, we will break the problem in two cases. One…

Q: What is the probability that the sum will reach 7 or 10 in one roll of two dice?

A: In rolling a dice following possible outcomes is observed {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)…

Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

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Q: If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the…

A: Solution: Let X be the number of games Islanders will win in a against the Rangers and n be the…

Q: This problem involves students who have taken Calculus in high school. Assume that 25 percent of…

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Q: If a die is tossed twice, what is the probability of rolling a 2 followed by a 3?

A: If a die is tossed then probability of getting 2 in a trial = 1/6 and probability of getting 3 in…

Q: If we are selecting only one card from a standard deck of 52 playing cards, then the probability of…

A: The deck is a standard deck of 52 playing cards. The number of cards of the club is 13. The number…

Q: Suppose that we roll two dice, what is the probability of getting a sum of 6 or 8?

A: In rolling two dice, the possible outcomes are…

Q: If you choose two numbers from 1 to 67, what is the probability that one number is greater than…

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Q: i have a 20p a 10p and a 2p coin, what is the probability of getting two tails and a head in any…

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Q: If you roll two dice, what is the probability of an even sum or a sum of 8 or more?

A: The outcomes for each of the die is {1, 2, 3, 4, 5, 6}.

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: A can solve 90 per cent of the problems given in a book and B can solve 70 per cent. What is the…

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Q: if you roll a pair of fair dice, what is the probability of getting a sum of 1

A: Roll a pair of fair dice, Sample space = S= (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: If we toss four coins, what is the probability that we get the same number of heads as tails?

A: From the provided information, There will be 16 different possibilities when 4 coins are tossed:…

Q: Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If…

A: SOLUTION-

Q: What is the probability that Namjoon will get a black sock and a purple sock?

A: here use basic of probability  and combination   here in all problem two individual socks are…

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: Taken calculus in high school: 0.35 Plan to major in science­=0.65 Do not plan to major in…

Q: rolling a pair of dice, what is the probability that the sum is 12 or at least one die shows a 2?

A:

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: If you flip a fair coin 10 times, what is the probability of getting all heads? If X = # heads,…

A: We have given that A fair coin is flipped 10 times.X: Number of heads We have to calculate P(X=10)…

Q: Problem : What is the probability of having not more than 20 failures if p= 0.14?

A: We have given that  Number  of trials n =100 Success of probability p=0.14

Q: his problem involves students who have taken Calculus in high school. Assume that 10 percent of…

A: Let define the events A = Students who have taken Calculus in high school A= Students who did not…

Q: You select 7 statistics students at random, with replacement. What is the probability that exactly 3…

A: here given, total students =60 31 sleep on their side 20 sleep on their stomach 9 sleep on their…

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: Solution: Let A be the event that students have taken calculus in high school and B be the event…

Q: If a person takes a five questions true-false, what is the probability of the event that the score…

A: For the given statement

Q: A pair of dice is thrown, If it is known that one die shows a 4, what is the probability that:…

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Q: A debating team of size 4 is to be randomly selected from 3 academic staff and 6 students. The…

A: We have to select a team of size 4 from the 3 academic staffs and 6 students and we have to find the…

Q: With the throw of two dice, what is the probability that the sum will be a prime number?

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Q: An unfair coin, with P(heads) = 5/9, is flipped 5 times. What is the probability more tails than…

A: For an unfair coin, probability of heads coming up is given, then the probability of tails coming up…

Q: A problem is given to three persons A, B, C whose respective chances of solving it are 2/7, 4/7, 4/9…

A: From the provided information, P (A) = 2/7, P (B) = 4/7 and P (C) = 4/9 The probability that none…

Q: If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the…

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Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: P(A/B) is the probability of event A when event B has already occurred.