3.Draw a 4-color spinner (red, green, yellow, blue) such thatlanding on green is twice as likely as landing on red;landing on yellow is equally likely as landing on green;landing on blue is more likely than landing on yellow.Determine the probabilities of landing on each of the colors on your spinner and explainyour reasoningCould someone else make a different spinner that has the same properties above but hasdifferent probabilities than yours?

The spinner:Denote the probability of landing on red as p.According to the conditions, the…

Answered: 3. Draw a 4-color spinner (red, green,…

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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Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red ballsand 3 green balls and Box 3 contains 6 red balls and 4 green balls. The respective probabilities of choosing a box are 1/4, 1/2, 1/4. What is the probability that the ball came from box 2, if it was red?
36. Consider all courtroom trials with a single de- fendant who is charged with a felony. Suppose that you are given the following probabilities for this situation. Seventy-five percent of the defendants are, in fact, guilty. Given that the defendant is guilty, there is a 70 percent chance the jury will con- vict the person. Given that the defendant is not guilty, there is a 40 percent chance the jury will convict the person. For simplicity, assume that the only options available to the jury are: to convict or to release the defendant. (a) What proportion of the defendants will be convicted by the jury? 38 (b) Given that a defendant is convicted, what is the probability the person is, in fact, guilty? (c) What is the probability that the jury will make a correct decision? (d) Given that the jury makes an incorrect de- cision, what is the probability that the de- cision is to release a guilty person?
If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results An ace and a 4 are drawn.
Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?
Wendy needs to get to an airport from a hotel. There is 0.33 chance that she calls a cab, there is 0.11 chance that she gets a Uber. If she cannot get a cab or Uber, she will take a shuttle. If she calls a cab, there is 0.29 chance that she could miss the flight. If she gets a Uber, the chance of missing flight is 0.22. If she takes the shuttle, the chance is 0.28. What is the probability that she misses the flight? (Round your answer to three decimal places)
A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 7 of cabernet (he only drinks red wine), all from different wineries. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
Please help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.
If a number is chosen from a set of three-digit numbers, what is the probability that the number is divisible by 5?
Omar commutes from his home to Concordia by car. To try to get to his class on time, he tries different routes to get to Concordia but heavy traffic and construction keeps occurring randomly along his four favourite routes: routes A, B, C, and D, which he takes with probabilities of 0.4, 0.15, 0.3, and 0.15, respectively. If he takes route A then he is on time for class with a probability of 0.7, if route B then he is on time with probability 0.9, if route C then he is on time with probability 0.8, and if route D then he is on time with probability 0.6. (a)What is the probability that Omar arrives to class on time? (b) If Omar arrives to class on time, what is the probability that he took route A?
Suppose you have 3 events A,B,C and exactly one happens and are equally likely. There is another event E and we know P(E|A)=.4, P(E|B)=.7, and P(E|C)=.8. Suppose we don't know if A,B, or C was the event that happened, but we do know E happened. Find the three probabilities that A happened, B happened, and C happened.
A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?

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