Assume you throw one “fair” astragalus 100 times. What is the probability that it lands on a“4” (strictly) less than 40 times?

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: What is the probability that the team will run the​ ball, given that it is 2nd down and they have 6…

A: Here the given table is:-Down and distance RunpassTotal1st down and 10 or more yards to go56811372nd…

Q: Use the formula for the probability of the complement of an event.A pair of dice is rolled 3 times.…

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Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: In a bag of marbles, there are 12 green, 12 blue, and one red. Find the probability for each…

A: As per given by the question, there are 12 green, 12 blue, and one red marbles in a bag. Now, 1.…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A spinner board consists of six equal parts number 1 to 6. The spinner is spun twice. Find the…

A: There are total 6 equal parts in spinner, from 1 to 6.

Q: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the…

A: Given that, In a box, there are 8 red, 7 blue and 6 green balls.  Total number of balls = 21

Q: In a parking lot there are only white cars, green cars, and red cars. If one car is selected at…

A: in parking lot there are only white,green and red cars.   select one car at random P(green) = 1/6…

Q: A group of people were asked if life exists elsewhere in the galaxy. 336 responded "Yes", and 400…

A: The number of people believe in existence of life elsewhere in the galaxy is 336. The number of…

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: For this problem, assume the bag contains 11 basketballs, 5 of which have defective valves. You…

A: Given, The bag contains 11 basketball out of which 5 have defective valves. Therefore, the…

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

Q: Find the probability that the home has exactly 1 (a fireplace exclusive or a garage). Find the…

A: d. Suppose event F denotes that homes have a fireplace and event G defines that homes have a garage.

Q: The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a three-digit number. (Digits are not…

A: Given digits is 2,3,4,5,6,7No.of digits = 6No. of digits number to be arranged = 3

Q: According to a survey, 67% of the students at Delta own a calculator. A group of 9 students is…

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Q: For this problem, assume the bag contains 14 basketballs, 5 of which have defective valves. You…

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Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: Some Ajman license car plates have one letter followed by a number with 4 digits .(No restriction…

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Q: A group of people were asked if they had run a red light in the last year. 278 responded "yes", and…

A: Given: Number of people run red light, n(A)=278 Number of people didn't run red light, n(B)=677…

Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Introduction: Denote X as the random variable of interest here, which is the number of people who…

Q: Use the formula for the probability of the complement of an event.A pair of dice is rolled 3 times.…

A: The sample space for rolling a pair of dice is, The number of favorable outcomes is, sum of 5 on…

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

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Q: A pair of dice are tossed twice.  Find the probability that the first roll is a total of at least 7…

A: A pair of dice are tossed twice  Sample space = 36

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

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