A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events:A:{ One of the balls is yellow }B:{ Al least one ball is red}C:{Both balls are green }D:{Both balls are of the same color }Find the following conditional probabilities(a) P(B|A") =(b) P(B|D) =(c) P(C|D) =

Answered: Image /qna-images/answer/047df31a-c921-4bb6-bf74-937f6f05910a.jpg

Answered: A box contains one yellow, two red, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Is Suppose a drawer contains five brown socks, seven blue socks, and four red socks. We draw one sock from the drawer and it is equally likely that any one of the socks is drawn. Find the probabilities of the events in parts (a)-(e). 3: a. Find the probability that the sock is blue. (Type an integer or a simplified fraction.) b. Find the probability that the sock is brown or red. (Type an integer or a simplified fraction.) c. Find the probability that the sock is black. (Type an integer or a simplified fraction.) d. Find the probability that the sock is not brown. >(Type an integer or a simplified fraction.) e. We reach into the drawer without looking to pull out four socks. What is the probability that we get at least two socks of the same color? (Type an integer or a simplified fraction.) # @ 2 W S F2 X mmand # 3 E D JUL 80 F3 C $ 4 988 F4 R F y C of 2 F11 E { [ option of 2 + 11 ? of 2 1 11
Consider you have 6 buckets. Assume any bucket is likely to be occupied or availabe. What is the probabilities of Event A, at least two but no more than five buckets are occupied. Event B at least one is occupied.
a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) = 0.50. Assume that A and B are mutually exclusive events and A and C are independent events, and P(BIC) = 0.10. Find P(A U BUC).
A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distributors, and a distributor may receive multiple orders. Find the probabilitiesof the following events.a) All orders go to different distributors.b ) All orders go to the same distributor.c ) Exactly two of the three orders go to one particular distributor.
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for pink, 1/10 for blue, 1/20 for red, and 1/15 for yellow. What is the probability of pulling a blue or red card, written as a reduced fraction?
The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period (a) more than 2 cars receive gas; (b) at most 4 cars receive gas; (C) 4 or more cars receive gas
7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
In a class of 31 students, 17 are dual-enrolled and 14 are not dual-enrolled. Suppose two students are randomly selected from the class (without replacement). Calculate the following probabilities. Round solutions to three decimal places, if necessary. P(Both Students are Dual-Enrolled) Enter an integer or decimal number [more..] P(1st Student is Dual-Enrolled and the 2nd Student is Not)
a. You are going to choose a number randomly from the set { 3, 4, 5, 6, ... 19, 20). What is the probability that the number will be divisible by 5 given that the number is even? b.In CSE230, there were 2 assignments this semester. The probabilities that you would get full marks in the first and second assignments are 0.32 and 0.41 respectively. Now, if you get full marks in the first assignment that makes your probability of getting full marks in the second assignment as 0.53. What is the probability of getting full marks in the first assignment given that you got full marks in the second assignment?
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.
A monkey is to demonstrate that she recognizes colorsby tossing one red, one black, one white ball, one orange ball, and one purple ball into boxes ofthe same repsective colors, one ball to a box. If the monkey hasnot learned the colors and merely tosses one ball into each boxat random, find the probabilities of the following results:a. There are no color matches.b. There is exactly one color match.

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