Two fair dice are tossed, and the face on each die is observed. a. Use a tree diagram to find the 36 sample points contained in the sample space. b. Assign probabilities to the sample points in part a. c. Find the probability of each of the following events: A = {3 showing on each die} B = {sum of two numbers showing is 7} C = {sum of two numbers showing is even} %3D %3D d. Also, for events A, B, and C, which one is simple event, which one is compound event? e. Event D= AC, Event D and event C independent or not? Event D and event B mutually exclusive or not? f. Consider event D and event C, Find the probability of each of the following events: p(D n C), p(D U C), p(DIC), p(C'ID'),p(D' nc')
Two fair dice are tossed, and the face on each die is observed. a. Use a tree diagram to find the 36 sample points contained in the sample space. b. Assign probabilities to the sample points in part a. c. Find the probability of each of the following events: A = {3 showing on each die} B = {sum of two numbers showing is 7} C = {sum of two numbers showing is even} %3D %3D d. Also, for events A, B, and C, which one is simple event, which one is compound event? e. Event D= AC, Event D and event C independent or not? Event D and event B mutually exclusive or not? f. Consider event D and event C, Find the probability of each of the following events: p(D n C), p(D U C), p(DIC), p(C'ID'),p(D' nc')
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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Part D&E&F
Transcribed Image Text:Two fair dice are tossed, and the face on each die is observed.
a. Use a tree diagram to find the 36 sample points contained in the sample space.
b. Assign probabilities to the sample points in part a.
c. Find the probability of each of the following events:
A = {3 showing on each die}
B = {sum of two numbers showing is 7}
C = {sum of two numbers showing is even}
%3D
%3D
d. Also, for events A, B, and C, which one is simple event, which one is compound
event?
e. Event D= AC, Event D and event C independent or not? Event D and event B
mutually exclusive or not?
f. Consider event D and event C, Find the probability of each of the following
events: p(D n C), p(D U C), p(DIC), p(C'ID'),p(D' nc')
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