LFD Book Forum Question on Lecture 2
 User Name Remember Me? Password
 FAQ Calendar Mark Forums Read

 Thread Tools Display Modes
#1
04-14-2013, 07:42 PM
 paul99 Member Join Date: Apr 2013 Location: Vancouver, BC (Canada) Posts: 11
Question on Lecture 2

Hi,

In reviewing some of the lectures, I have a question about Lecture 2 (slide 14; ~ 47 minute mark), "Coin analogy", how was 63% arrived at as the answer to the second question:

If you toss 1000 fair coins 10 times each, what is the probability that some coin will get 10 heads?

Thanks,

Paul
#2
04-14-2013, 08:10 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: Question on Lecture 2

Quote:
 Originally Posted by paul99 Hi, In reviewing some of the lectures, I have a question about Lecture 2 (slide 14; ~ 47 minute mark), "Coin analogy", how was 63% arrived at as the answer to the second question: If you toss 1000 fair coins 10 times each, what is the probability that some coin will get 10 heads? Thanks, Paul
For each coin, probability of getting 10 heads is which is approximately 0.001

Therefore, for each coin, the probability of not getting 10 heads is 1 minus that, approximately 0.999

The probability that none of the 1000 coins gets 10 heads is that to the power 1000, and we approximate by since the limit of is .

Finally, the probability that at least one coin will get 10 heads is one minus that, which is and this is approximately 0.63.

PS: You can quote any part of the video lecture by using the lecture tags, in this case [lecture2] tag, as explained in the sticky thread about including a video segment.
__________________
Where everyone thinks alike, no one thinks very much
#3
04-15-2013, 11:33 AM
 paul99 Member Join Date: Apr 2013 Location: Vancouver, BC (Canada) Posts: 11
Re: Question on Lecture 2

Thanks Prof. Yaser and also for reminding me to use the post tags!

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home General     General Discussion of Machine Learning     Free Additional Material         Dynamic e-Chapters         Dynamic e-Appendices Course Discussions     Online LFD course         General comments on the course         Homework 1         Homework 2         Homework 3         Homework 4         Homework 5         Homework 6         Homework 7         Homework 8         The Final         Create New Homework Problems Book Feedback - Learning From Data     General comments on the book     Chapter 1 - The Learning Problem     Chapter 2 - Training versus Testing     Chapter 3 - The Linear Model     Chapter 4 - Overfitting     Chapter 5 - Three Learning Principles     e-Chapter 6 - Similarity Based Methods     e-Chapter 7 - Neural Networks     e-Chapter 8 - Support Vector Machines     e-Chapter 9 - Learning Aides     Appendix and Notation     e-Appendices

All times are GMT -7. The time now is 06:14 AM.

 Contact Us - LFD Book - Top

Powered by vBulletin® Version 3.8.3
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.
The contents of this forum are to be used ONLY by readers of the Learning From Data book by Yaser S. Abu-Mostafa, Malik Magdon-Ismail, and Hsuan-Tien Lin, and participants in the Learning From Data MOOC by Yaser S. Abu-Mostafa. No part of these contents is to be communicated or made accessible to ANY other person or entity.