the answers to this question should not be evaluated numerically. They should be left in terms of factorials and/or binomial coefficients. (a) You roll a fair 8-sided die, with faces numbered from 1 to 8, 40 times. Find the probability of getting a multiple of 3 exactly 5 times. Find in how many ways you can distribute 6 red pens, 3 blue pens, and 10 black pens to 19 people, so that each one gets one pen.

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A: Given: Total number of balls=10Number of red balls=6Number of white balls=1 The probability of…

Q: Dave's wardrobe contains 14 T-shirts, of which 12 are gray. Dave selects a T-shirt at random. What…

A: From the provided information, Dave’s wardrobe contains 14 T-shirts. From which 12 are gray…

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A:

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: probability of getting a total score of 15

A: We have to find out the probability of getting a total of 15.

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Q: Kiara sets up a passcode on her tablet, which allows only six-digit codes. She has heard that it's…

A: Kiara sets up a pass-code on her tablet, which allows only six-digit codes. She has heard that it's…

Q: e residents of a city rank the six cell phone companies in their area. What is the probability that…

A: The residents of a city rank the six cell phone companies in their area. P(Correct order)=?

Q: Ray is spinning a four colored spinner (red, yellow, green and blue). He is also rolling a six sided…

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Q: Meredith draws a six from a standard deck of 52 cards. Without replacing the first card, she then…

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Q: 7 numb s that t git mus d th +

A:

Q: In a drawer, there are 13 pairs of socks, 10 of which are white, and 8 t-shirts, 5 of which are…

A: Here in a drawer there are 13 pairs of shock from which 10 are white. 8 t-shirts from which 5 are…

Q: A junk drawer at home contains nine pens, five of which work. What is the probability that you…

A: The objective of this question is to find the probability of picking three pens from a drawer, none…

Q: Julia sets up a passcode on her tablet, which allows only eight-digit codes. A spy sneaksa look at…

A: According to the provided data, the passcode allows only eight digit codes. As the fingerprints on…

Q: Suruchi has $1.64 worth of change in the bottom of her purse.              If she reaches into her…

A: Given: Total number of coins = 12 Number of nickel = 3

Q: You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10. What is the…

A: Given You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10.

Q: Pete and two co-workers harvested 18 pumpkins from a farm where they worked. If each person…

A: Given Pete and two co-workers harvested 18 pumpkins.Each person harvested at least 5 pumpkins.The…

Q: flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3…

A: Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: From the provided information, A fair six-sided die is rolled twice. P (rolling 3) = 1/6 P (rolling…

Q: Camilia sets up a passcode on her tablet, which allows only nine digit codes. A spy sneaks a look at…

A: According to the question, the password has a 9 digit code. Given that the spy sees her fingerprints…

Q: Kenmore Hockey Team winning a game is 75%. How many times would you expect them to win in a 24 ga

A: This is the case of binomial, as there are only two possible outcomes which are independent and…

Q: The probability of drawing a peppermint candy out of a jar of 25 candies is 1/5.How many more…

A: Given : The probability of drawing a peppermint candy out of a jar of 25 candies is 1/5

Q: For 8 TL a player can roll a pair of dice once. If the player gets a double, he is allowed to choose…

A: The probability that the player gets a double = (Number of ways to get a double)/(Total number of…

Q: Which of the following problems must be determined using a combination? Determine the probability of…

A: We have given that four different problems. Here we need to find out that which are determined by…

Q: A farmer is examining the amount of fungi per square cm of maize plant. The average number of fungi…

A: Average number of fungi per two square cm = 4 Therefore average number of fungi per square cm = 2 X…

Q: getting 50 heads when flipping a fair coin 100 times

A: This problem is to find the probability distribution we can use the binomial distribution,  Normally…

Q: How much money would you have to lose in order for you average 0 per roll?

A: Here you play a game where you roll 2 six-sided dice. If you roll a 7, you will lose some money, but…