Find the probability that when four numbers from 1 to 100, inclusive, are picked at random with no repetitions allowed, either all are odd, all are divisible by 3, or all are divisible by 5.

Q: A bag of 100 tulip bulbs purchased from a nursery contains 30 red tulip bulbs, 35 yellow tulip…

A: According to the given information in this question  There are 100 tulip bulbs we need to calculate…

Q: 2 How many 7-digit numbers can be formed from the digits 1, 1, 2, 2, 4, 4 and 5 if repetition is not…

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Q: Consider all 2 digit numbers {10, ... , 99}. Select one mumber. What is the probability that the…

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Q: Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses…

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Q: Assume that the year has 366 days and all birthdays are equally likely. Rearrange the following…

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Q: (b) How many bit strings of length 12 have exactly 6 0's? (c) What is the probability that a bit…

A: (b) The total number of bit strings of length 12 have exactly 6 0's is computed as follows. 126=924…

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A: Let F be the freshman, S be the sophomores, J be the juniors, Se be the seniors, and P be the pass.…

Q: Consider a political discussion group consisting of 6 ​Democrats, 7 Republicans, and 4 Independents.…

A: Given,  Consider a political discussion group consists of Democrats=6 Republicans=7 Independents=4…

Q: There are twenty balls in a box numbered 1 to 20. After mixing them thoroughly, one ball is randomly…

A: Given problem Given that   There are twenty balls in a box numbered 1 to 20. After mixing them…

Q: If r numbers are selected at random from the ten numbers 1, 2, 3,..., 10, repetitions being allowed,…

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Q: Consider a political discussion group consisting of 6 Democrats, 7 Republicans, and 3 Independents.…

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Q: Six digits from 2,3,4,5,6,7,8 are chosen and arranged in a row without replacement to create a…

A: Number must be even number as it is divisible by 2

Q: What is the probability that a positive integer selected at random from the set of positive integers…

A: Given:   What is the probability that a positive integer selected at random from the set of positive…

Q: By mistake, a student who is running a computer program enters with negative signs two of the six…

A: Given that by mistake a student who is running a computer program enters with negative signs two of…

Q: Assume n and m are two integers such that n > m > 1. If a bit string of length n+m is randomly…

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Q: 11. Assume that the year has 366 days and all birthdays are equally likely. Assume it is equally…

A: Let p  is the probability that the person is born in a particular month. So the first person has 12…

Q: n an experiment where 2 balls are drawn successively at random without replacement from a box…

A: The total number of balls is 2+3+2 =7

Q: 77% of all students at a college still need to take another math class. If 5 students are randomly…

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

Q: Suppose the probability of erroneously transmitting a single digit is P = 0.03. Computethe…

A: Given:  The probability transmitting a single digit is P=0.03

Q: Each individual letter of the word Maine is placed on a piece of paper, and all 5 pieces of paper…

A: Given Information: Total number of letters = 5

Q: An integer is chosen at random from the first 60,000 positive integers. What is the probability that…

A: Let A, B and C be the sets of integers between 1 and 60,000 that are divisible 2, 4 and 6…

Q: Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses…

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Q: Assume that 40 jurors are randomly selected from a population in which 80% of the population are…

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Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: From a box containing 6 red balls, 8 white balls and 10 blue balls, one ball is drawn at random.…

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Q: How many permutations of [n] are possible in which no even numbers and no odd numbers are adjacent?

A: Solution :-

Q: Suppose an animal shelter has 10 cats and 8 rabbits. One day, 3 of these animāls are chosen (in an…

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Q: Assume that 4 digits are selected at a random from the set { 1,2,3,4} and are arranged in random…

A: The set of the digits from which the digits are selected randomly and arranged in random order is

Q: There are 50 numbered papers in a box. Twenty-seven of the numbers are odd. Of the odd numbers, 13…

A: We can answer this question as below

Q: Assume that a particular professional baseball team has 11 pitchers, 7 infielders, and 12 other…

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Q: What is the probability that the integer chosen is divisible by atleast one of the numbers 2,4,6,7?

A: Number of first 80000 positive integer divide by 2 = n(A) = 80000/2 =40000 Number of first 80000…

Q: Assume that 4 digits are selected at random from the set {1,2,5,6,7,8,9}{1,2,5,6,7,8,9} and are…

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Q: A random number generator is used to select an integer from 1 to 200 ​(inclusively). What is the…

A: Given information is as follows; A random number generator is used to select an integer from 1 to…

Q: Find the probability of picking exactly 3 jazz CDs drawn at succession without replacement from a…

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Q: (a) An integer is chosen at random from the digits 1, 2, -upto 200. What is the probability that the…

A: As per our guideline we are suppose to answer only one question .

Q: An integer is chosen at random from the first two lundred digits. What is the probability that the…

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Q: Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses…

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Q: Select uniformly at random a permutation of {1, 2, ..., 100}. What is the probability that in the…

A: According to the provided data, the random experiment is selecting uniformly at random, a…

Q: If n letters are randomly placed in correctly addressed envelopes, prove that the probability that…

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Q: Find the probability of picking exactly 3 jazz CDs drawn at succession without replacement from a…

A: Number of jazz CDs = 5 Number of classical CDs = 2 Number of rock CDs = 3 Total number of CDs = 10…

Q: 35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32…

A: 35% of all college students major in STEM (Science, Technology, Engineering, and Math) Probability,…

Q: Consider the set of all permutations of the numbers 1, 2, 3. If you select a permutation at random,…

A: The total permutations with n numbers in the set is given by n! Therefore, the total permutations of…

Q: On a tv quiz show, a contestant is asked to pick an integer at random from the first 100 consecutive…

A: Solution

Q: What is the probability that the sum of two randomly selected integers chosen from the first 200…

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Q: 3-digit numbers will be formed with the natural numbers from 1 to 5, without repeating any digit a)…

A: Solution

Q: Consider a political discussion group consisting of 8 Democrats, 7 Republicans, and 2 Independents.…

A: Given data,Number of democrats =8Number of Repubicans =7Number of independents =2Total members…

Q: A bag has a bunch of marbles in it. Of the 25 marbles in the bag, 15 are red and 10 are blue. If 8…

A: We have to find given probability.

Q: Find the probability of picking exactly 3 jazz CDs drawn at succession without replacement from a…

A: Probability is a chance factor, that can occur at every outcome of an experiment. The probability of…

Q: Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses…

A: Given that the 71% of the surface of the Earth is covered in water. There are 6 such locations are…

Q: Consider a collection of envelopes consisting of 1 red envelope, 1 blue envelope, 3 green envelopes,…

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