2. Bag A contains 2 red and 3 blue marbles. Bag B contains 4 red and 5 bluemarbles. A fair coin is tossed. If it falls heads up, a marble is selected fromBag A. If it falls tails up, a marble is selected form Bag B.a) Draw a well labeled tree diagram to show this information.b) Hence determine the probability of selecting a red marble.

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Answered: a) Draw a well labeled tree diagram to…

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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2) A spinner has an equal chance of landing on scarlet, crimson, vermilion, burgundy and maroon. It is spun twice. a) Make a table showing all of the possible outcomes. b) What is the probability that the spinner lands on crimson twice? c) What is the probability that the spinner lands on burgundy at least once? d) What is the probability that the spinner lands on vermilion or maroon? e) What is the probability that the spinner lands on scarlet at least once? f) What is the probability that both spins land on the same colour?
1,000 people were sampled to pick a card which contained a color and symbol. 350 people in total picked a card that was blue. 223 people in total picked a card with a star. 161 people chose card that was both blue and had a star on it. a) what is the probability that a person randomly chose a blue card? b) what is the probability that a person randomly chose a card that was both blue and had a star on it? c) what is the probability that a person randomly chose a card that was either blue or had a star on it?
QUESTION 5 a) AMTH201 test was given at the UCC Kingston Campus. There were 15 multiple choice questions. Each question had 4 answers to choose from. A student needs at least 10 correct answers to pass the test. Find the probability that the students pass. b) A truck hire company receives an average request of two trucks per day. Find the probability that on a given day there are at most two requests for truck drivers.
Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged. a) Create a tree diagram that illustrates all the possible outcomes for the match. b) Determine the probability of each outcome. c ) Add the probabilities determined in part b). Does this total make sense? Explain. d) What is the probability that Enrico will not win all three games? e) What is the probability that Cliff will win exactly two games? f) What are the odds against either player winning all three games?
9. An urn contains two black marbles, one red marble and four yellow marbles. Two marbles are chosen, without replacement, from the urn. a) Draw a tree diagram to represent the possible outcomes. b) Calculate the probability of getting i. One red marble ii. Two yellow marbles iii. One black and one yellow marble
A) Make a probability distribution for the number of girls in families with three children. B) Suppose you reach in and draw two balls at random from a bag containing 8 white balls(W),7 black balls (B) and 5 red balls (R) a) List all possible outcomes of this process( for example, BB, RW, and so on). b) Make a table or graph showing the probability distribution for the events of 0, 1, and 2 red balls.
A cybercafe buys 45% of its laptop from Company A, 35% from Company B and 20% from Company C. However, 20% of laptop from Company A is prone to defect whereas 10% from Company Band 5% from Company C. Draw a tree diagram for the situation and hence find the probability the laptop is from Company Cif it is defect.
A basket has 3 red and 7 white marbles. One marble is drawn and a marble of the other color is put back. A second ball is drawn. a) draw the probability tree b)probability the second ball is red c)If both are the same color, what is the probability both are white
Machines A, B and C make resistors 1, 2 and 3 respectively. The acceptability of the three resistors are 90%, 93% and 81% respectively. Three resistors are picked at random sampling with replacement. Find the probability that: a) All resistors are acceptable. b) All resistors are not acceptable. c) At least one resistor is acceptable.
A teacher needs to select 3 students to form a leadership committee She has four math students, three English students two phys. ed. students and five music students to choose from a) What is the probability that all three students come from the same subject area? b) Show the probability distribution for the number of students chosen from phys ed and music in table form c) What is the probability that the committee is made up of 2 English ard one musid student? d) What is the expected number of students sent from math?
An archery target with a radius of 60 cm has 7 scoring zones formed by concentric circles. The radius of the center black circle is 10 cm. If an arrow hits the target at a random point, what is the probability that it hits the center black zone?

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a) Draw a well labeled tree diagram to show this information. b) Hence determine the probability of selecting a red marble.