A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser operates such that one quarter delivers one gumball. Using 3 quarters, what is the probability that of the 3 gumballs obtained, exactly one will be purple and one will be yellow?

Q: Find the probability of getting 3 diamonds, if we draw 3 cards at random from a pack of 52 cards.

A: Answer: From the given data, Number of cards in a pack = 52 Number of cards to pick at random = 3

Q: Lisa has 8 pieces of black socks and 4 pieces of pink socks in her bedroom drawer. If she randomly…

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Q: Find the probability of choosing a letter other than the letter L from a bag that contains the…

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Q: A couple plans to have 4 children. Find the probability of getting exactly 1 girl.

A: The objective of this question is to find the probability of a couple having exactly 1 girl out of 4…

Q: A bag contains 6 red, 8 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if…

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Q: A bag contains 6 red, 3 blue, and 7 yellow poker chips. You randomly choose 2 poker chips, one at a…

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Q: A bag contains only red marbles and blue marbles. There are 6 marbles in the bag. The bag contains…

A: From the provided information, A bag contains only red marbles and blue marbles. Total marbles = 6

Q: A city council consists of seven Democrats and five Republicans. If a committee of six people is​…

A: Here, seven Democrats and five Republicans. committee of six people is​ selected. The number of ways…

Q: If the probability of Ali and Hamad winning in a competition is 0.37 and the probability of losing…

A: It is given that the   probability of Ali and Hamad winning in a competition is 0.37 i.e. P(Ali and…

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: A bag contains 10 white as well as black balls. A person draws 6 balls and finds that 3 balls are…

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Q: In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend a management…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: There are 12 boys and 14 girls in Mrs. Schultz's math class. She is selecting a  team of 3 students…

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Q: A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them one after another. What is the…

A: Given,no.of chocobars=4no.of ice creams=4total no.of items=8

Q: bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that you do…

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Q: A doctor has 3 doses of flu protection vaccine left. He has 5 women and 9 men who want the…

A: GivenNo.of women = 5No.of men = 9Total no.of people = 14No.of doses doctor have=3

Q: A bag contains 8 red, 4 white, and 5 blue marbles. Find the probability of picking 3 white marbles…

A: Total number of balls = 17 Total number of white balls = 4

Q: A bag contains different colored jelly beans. In the bag, there are 5 red jelly beans, 3 blue jelly…

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Q: The probability of selecting a four-person committee with one Democrat and three Republicans is .

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Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a…

A: When a dice is rolled then there are 6 outcomes.  So the probability of getting a 6 on the first…

Q: A laundry bag contains 8 brown socks and 3 black socks. Find the probability of picking two black…

A: Given Data: n( brown socks)=8 n( black socks)=3   Total number of socks=8+3=11

Q: A football team consists of 20 freshmen and 20 sophomores, 12 juniors, and 5 seniors. Four players…

A: Given information: Number of freshmen in a football team, nfreshmen=20 Number of sophomores in a…

Q: If one ball is drawn on each bag, what is the probability of getting a green ball and a yellow ball?

A: One bag contains 4 white balls, 3 green balls, and 3 yellow balls.  A second bag contains 2 white…

Q: A basketball player makes an average of 2 free throws out of every three attempts. If the player…

A: Out of total 3 throws, 2 are made by the player. So the probability of making a throw will be ratio…

Q: Julio rolls a 6 sided red die and a 6 sided black die, if the red die lands on 3 and the sum of the…

A: Given,  For Julio to win a point, the red die should land on 3 P(3) =16

Q: A bag contains 3 white balls and 5 red balls. Find the probability that one ball is white and the…

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Q: Suppose you have created a new playlist made up of 6 songs (2 rock, 2 hip-hop, and 2 trance). Find…

A: Given that there is a total of 6 songs. Out of the 6 songs 2 are rocks, 2 hip-hops, and 2 trances.

Q: One drawer in a dresser contains 8 blue socks and 6 white socks. A second drawer contains 4 blue…

A: The event that choosing same colored socks from both the drawers can be done in two ways. They are,…