There are 8 acts in a talent show.An acrobat, a comedian, a guitarist, a juggler, a magician, a singer, a violinist, and a whistler.A talent show host randomly schedules the 8 acts.Compute the probability of each of the following events.Event A: The guitarist is first, the singer is second, and the violinist is third.Event B: The first three acts are the magician, the comedian, and the violinist, in any order.Write your answers as fractions in simplest form.P (4)P (B) =010X

There are 8 acts in a talent show.An acrobat,a comedian,a guitarist,a juggler,a magician, a singer,…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A pet store has 12 puppies, including 4 poodles, 4 terriers, and 4 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle. The probability is (Type an integer or a fraction.)
A group consists of four Democrats and five Republicans. Four people are selected to attend a conference. a. In how many ways can four people be selected from this group of nine? b. In how many ways can four Republicans be selected from the five Republicans? c. Find the probability that the selected group will consist of all Republicans.
Kiki has 7 black pens, 9 blue pens, and 6 red pens in her school bag.Kiki randomly picks two pens out of her school bag. What is the probability that Kiki chose two blue pens, if she replaced the first pen back in her pocket before choosing a second pen?
In a classroom there are 4 girls and 5 boys. The class is to elect a President, Vice President, and a Treasurer. What is the probability if students were elected at random that all three positions were filled by girls?
In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked from this group at random is either tea or coffee drinker?
Wes and his friend Anderson are taking a picture with 6 other people standing in a row. Find the probability that: a. Wes is standing at one end and Anderson at the other b. Wes and Anderson will be standing consecutively (in either order)
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color Five are jelly-filled, 8 are lemon-filled, and 11 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut. (Type an integer or a simplified fraction.) ry ources ions ols Enter your answer in the answer box and then click Check Answer clearAl Chock Answ All parts showing Copyright t 2021 Pearson Education Inc. All rghts reserved. Terms of Use | Privacy Policy | PermissionS/ Contact US/ 2:08 PM 87F Mostly cloudy ^ 7/12/2021 99 Type here to search DELL F12 PrtScr Insert Delete PgUp PgDn F7 F8 F9 F10 F11 F2 F3 F4 F5 F6
Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is .
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.
You draw three bolls from a box containing 10 red balls and 5 blue bolls. Calculate the probability that all three bolls have the same colour?
The three stooges (Larry, moe and Curley) and the four max brothers (Chico, harpo, Groucho and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be moe, Larry and curly in that order?
A family has a day of eight activities planned:shopping, picnic, hiking, video games, movie, dog park, restaurant, and car wash. To make it more adventurous, they decide to randomly pick the order of the activities out of a hat. Find the probability that video games and restaurant are chosen consecutively, in either order.

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