5. There are two boxes. Box 1 contains 1 red, 1 blue, and 1 green marble. Box 2contains 2 red marbles and 1 blue marble. One of the boxes is selected and then amarble is drawn from that box. Draw a tree diagram and give a set of possibleoutcomes for this experiment based on the diagram. If K is the event that a bluemarble is drawn, list the outcomes which comprises each of these events.

Box 1 : 1 Red , 1 Blue, 1 Green Box 2 : 2 Red , 1 Blue The tree diagram : Set of Possible outcomes…

Answered: 5. There are two boxes. Box 1 contains…

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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Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white and 4 black marbles. A random experiment is performed in two sequential trials by first drawing a marble randomly from box A and putting into Box B. In the second trial after the first trial, a marble is drawn randomly from box B. Answer the following questions. Are the two trials independent or dependent? Give reasons to support your answer Draw a probability tree diagram to show the execution of this random experiment. What is the probability of drawing a white marble from box B at the end of 2nd trial? What is the probability of drawing a black marble from box B at the end of 2nd trial? Identify all the mutually exclusive events present in the given scenario and verify that they are mutually exclusive.…
I have 1 gray female, 5 gray male, 2 white female, and 2 white male mice. A biologist chooses 2 randomly. What is the probability that both are males given both are gray?
Suppose you reach in and draw three marbles at random from a bag containing 10 red marbles, 10 blue marbles, and 10 purple marbles. List all possible outcomes of this process. Make a graph showing the probability distributions for the number of purple marbles drawn. Use the events 0, 1, 2, and 3 purple marbles. PLEASE WATCH GRAMMAR, PUNCTUATION, and PLEASE HAVE CLEAR FORMATTING.
An individual is playing a game that involved spinning a wheel with 7 sections. 6 of the sections are the colors red, orange, yellow, green, blue, and purple. The last section of the wheel is silver and in order to win the game the individual must spin the wheel twice and each spin needs to land on the silver section. Assume that each section has an equal chance of being landed on. What is the probability that when spun twice the wheel lands on the silver section both times?
Draw a tree diagram to model this chance process and find the probability that one of the chocolates has a soft center and the other one doesn't.
Suppose Katie took a four-question true-false test. If she answered each question true or false at random, what is the probability of the event that she answered exactly one of the questions incorrectly? Hint: Think of an outcome as a "word". For example, the word CIIC could represent the outcome that Katie answered the first and last questions correctly. Or, draw a tree diagram.
Box A contains 6 red and 10 white marbles. Box B contains 8 red and 5 white marbles. A marble is chosen from Box A and its color is recorded. That marble is then placed in Box B and a marble is chosen at random from Box B and its color is recorded. a. Fill in the probability tree to describe this situation. Red Red White Red White White b. Find the probability that a red marble is drawn second. c. Find the probability that you draw a white marble second, given the first marble drawn was white.
. Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights,airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time ratesare 80%, 65%, and 40%, respectively. Part 1) Draw the Probability tree diagram. (Note: You may use any software for this, likeMS paint, MS office, etc.) Part 2) A plane has just left on time. What is the probability that it was airline ‘Amira’?
2. Two friends, David and Peta, often play squash and tennis with each other. Over the years they have found that David wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches. If they play one match of squash and then one tennis match: (a) Draw a tree diagram to describe the situation. (b) Find the probability that David wins both matches. (c) Find the probability that Peta wins the second match.
A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
You have a Jar with 100 M & M's. 24 of them are Blue, 13 are Brown, 16 are Green, 20 are Orange, 13 are Red, and 14 are Yellow. What is the probability of selecting 3 Yellow M & M's without replacement?
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?

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