a) List all possible outcomes. b) List all possible outcomes for each of the following events and find the corresponding probabilities. A = {Exactly 1 green ball is drawn} B = {The first ball is red} C = {At least one ball is yellow} D = {Both balls are the same color} c) List all possible outcomes and find the probabilities of the following events. i. ii. iii. iv. i. ii. iii. iv. V. Not C A & C A&D B&D C or D

a) List all possible outcomes. b) List all possible outcomes for each of the following events and find the corresponding probabilities. A = {Exactly 1 green ball is drawn} B = {The first ball is red} C = {At least one ball is yellow} D = {Both balls are the same color} c) List all possible outcomes and find the probabilities of the following events. i. ii. iii. iv. i. ii. iii. iv. V. Not C A & C A&D B&D C or D

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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Question

A bag contains 3 balls: 1 yellow, 1 red, and 1 green. Suppose I draw 2 balls from the bag with replacement (that is, after drawing the first ball and observing its color, I return it to the bag). Let Y be the event of drawing a yellow ball in a given draw, R be the event of drawing a red ball and G be the event of drawing a green ball.

a) List all possible outcomes.
b) List all possible outcomes for each of the following events and find the
corresponding probabilities.
A = {Exactly 1 green ball is drawn}
B = {The first ball is red}
C = {At least one ball is yellow}
D = {Both balls are the same color}
c) List all possible outcomes and find the probabilities of the following events.
i.
ii.
iii.
iv.
i.
ii.
iii.
iv.
V.
Not C
A & C
A&D
B&D
C or D
d) Identify all possible pairs of events defined in part (b) that are mutually exclusive.
e) Verify mathematically that B and D are independent events, while C and D are not.

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