Given two dice (each with six numbers from 1 to 6): (a) what is the entropy of the event of getting a total of greater than or equal to 11 in one throw? (b) what is the entropy of the event of getting a total of equal to 8 in one throw? What is the Information GAIN going from state (a) to state (b)? Explain what this means in your own words. Please show all working and the final result. Show all working. You may do it on paper and upload your working (if you are using a cell phone camera the writing on each page is very clear and you upload al

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
Question
line
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Explain Entropy and Information Gain and calculate the entropy and
information gain for the following.
Problem:
Given two dice (each with six numbers from 1 to 6):
(a) what is the entropy of the event of getting a total of greater than or
equal to 11 in one throw?
(b) what is the entropy of the event of getting a total of equal to 8 in one
throw?
What is the Information GAIN going from state (a) to state (b)? Explain
what this means in your own words.
Please show all working and the final result. Show all working. You may do
it on paper and upload your working (if you are using a cell phone camera
app, make sure the writing on each page is very clear and you upload al
PDF file). Details of working are as important as your final answer.
Transcribed Image Text:line W Explain Entropy and Information Gain and calculate the entropy and information gain for the following. Problem: Given two dice (each with six numbers from 1 to 6): (a) what is the entropy of the event of getting a total of greater than or equal to 11 in one throw? (b) what is the entropy of the event of getting a total of equal to 8 in one throw? What is the Information GAIN going from state (a) to state (b)? Explain what this means in your own words. Please show all working and the final result. Show all working. You may do it on paper and upload your working (if you are using a cell phone camera app, make sure the writing on each page is very clear and you upload al PDF file). Details of working are as important as your final answer.
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