b) A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random, what is the probability that the ball drawn will be multiple of 3 or 7?

Q: An urn contains 4 red and 5 white balls. Two balls are drawn in succession without replacement. If…

A: Given data: The numbers of red balls are r=4. The numbers of white balls are w=5. The expression for…

Q: Suppose that three jars contain colored balls as described in the table below. Red White Blue Jar 1…

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Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: Let the students of sophomore year be denoted by S and freshmen be denoted by F.   Given: Number of…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: GIVEN DATA : There are 15 boys and 30 girls in the class                          10 students are…

Q: A box contains 16 yellow, 23 green and 29 red jelly beans. If 14 jelly beans are selected at random,…

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Q: b) There are 10 socks in a drawer, 5 white and 5 black. Two socks are selecte and at random. What is…

A: Concept:

Q: How many 4-letter arrangements can be made from the letters of the word DEALING, such that: (i) two…

A: Number of arrangement of data can be calculated using either permutation or combination. Permutation…

Q: 1. An urn contains 6 red, 7 blue, and 5 green balls. You draw out two balls and they are different…

A: As per the policy I can solve only first question for you, Please repost the remaining question…

Q: 2. Find the probability that in tossing a fair coin three times, there will appear (a) 3 heads, (b)…

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Q: 2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly…

A: (2) Given Information: A deck of cards contains 20 cards: Red cards = 6 and Black cards = 14 5 cards…

Q: 4. The class is randomly divided between three instructors, with 6 people going to each instructor.…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: What is the probability that a 6-digit phone number contains at least one 7

A: Note that repetition of numbers and lead zero are allowed. The combination consists of 6 digits,…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: 15 octacahedra (like dice but with 8 faces rather than 6) are rolled. What is the probability of…

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Q: Four cards are to be dealt successively at random and without replacement from an ordinary deck of…

A: Deck of card consists of 13 Spade cards. 13 diamond cards. 13 Club cards. 13 Heart cards.…

Q: From 10 cards bearing the letters a, b, c, d, e, f, g, h, i and j a card is drawn. Find the…

A: Among a, b, c, d, e, f, g, h, i, and j, the vowels are a, e, i. So there are 3 vowels. There are 10…

Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…

A: As per your Requirement  I  have calculated  D part only

Q: 2. If a fair die is rolled, what is the probability of getting: a. an odd number or a multiple of 4?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 28. Find the probability that in a family of 5 children, there will be at most 2 girls. Assume that…

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Q: Two cards are drawn at random from a well shuffled pack of 52 cards. What is the probability that :…

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Q: Assume that two balls are being drawn without replacement from the urn tot he rigth. What is the…

A: There are total 18 balls in the given urn.  We can pick the first ball in 18 ways and the second…

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: Suppose that nine-digit Social Security numbers are assigned at random (the numbers may start with…

A: Given: Here nine-digit social security number are assigned at random We select a number randomly, We…

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: A bag with 6 marbles is shown below(3 marbles are red, 1 is yellow, and 2 are blue) a marble is…

A:

Q: (a) What is the probability that the number of drivers will be at most 14? (b) What is the…

A: According to the answering guidelines, we can answer only three subparts of the question and the…

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: Consider a standard standard 52-card deck, with 13 denomination in 4 suits. Suppose you draw 5 cards…

A: a) Let us find the probability of getting 3 cards of clubs out of 5 drawn P3…

Q: 17 cards are numbered 1 to 17. One card is taken at random. What is the probability that the number…

A: Followings are the Explanation of the question

Q: A box contains 25 balls numbered from 1 to 25. One ball is drawn at random. What is the probability…

A:

Q: A family chosen at random has 4 kids (a) what is the probability that there are 2 boys and 2 girls?…

A: Each kid can be chosen in 2 ways (boy or girl)  So 4 kids can be chosen in 24=16 ways  (order of…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

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Q: . A lottery game, LOTTOPLUS, is set up so that each player hooses seven different numbers from 1 to…

A: Given : Each player chooses 7 different numbers from 1 to 24

Q: a. If a coin is tossed two times then what is the probability of two Heads? b. If a coin is tossed…

A: The probability of an event is defined as the chances of the occurrence, mathematically, of an…

Q: If N persons are seated at a round table find the probability that two named persons are neighbours…

A: Here Given  N persons seated at a round table.

Q: 4) Determine the probability that a sibship of 6 will comprise: (a) 4 boys and 2 girls. (b) boys as…

A: As per guidelines only first 3 subparts have been answered.

Q: 4. What is the probability of rolling a (a sum) of 5, or (a sum) of 6 or doubles? Let A be Let B be…

A:

Q: a. What is the probability that there are exactly 5 students who fail in 1 sem? o. What is the…

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Q: is 4 workers per shift. Find the probability that on a particular shift, (i) exactly four workers…

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Q: 2) How many permutations of the word PROBABILITY start with a B and end with a vowel?

A: The number of letters in the word 'PROBABILITY' are 11 where B and I come twice. The number of…

Q: 4) The probability to select a man in a group of 20 people is 25%. You want to form a committee of…

A: Let X represent the number of man in committee n=5 p=0.25   X~ Binomial (5, 0.25)

Q: What is the probability that a five-card poker hand contains at least one ace? A standard deck…

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Q: Consider a pack of 52 playing cards. Select a card at random. What is the probability that the card…

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Q: A standard provincial landline telephone number in Cavite contains area code of 3 digits and…

A:

Q: Consider a standard standard 52-card deck, with thirteen denomination in 4 suits. Suppose you draw 5…

A: The given information is about the standard 52-card deck. It contains 4 suits and each suit has 13…

Q: An urn contains 4 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A: Given ,              no. of red balls = 4              no. of white balls = 4              Total no.…

Q: 1) What is the probability that one card selected from a deck of 52 is a club or a number card or…

A: