Solved

Dice Roll Probabilities

Posted on 2016-10-10
3
129 Views
Last Modified: 2016-10-11
Homework Question:
I am not sure if I did it right. If its wrong can you tell me which direction I should be going to?

q7.PNG
a) p=310/1000 =0.31
odds for 31/100
b) p=600/1000 =0.6
odds for 3/5
0
Comment
Question by:Tommy Anderson
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 2
3 Comments
 
LVL 35

Accepted Solution

by:
Kimputer earned 500 total points
ID: 41837108
You're good to go, nothing extra needed to explain. I.E. good job.
Though, the more official notation for odds are like this:
3:5 (Three in Five chance, or three to five odds)
1
 
LVL 8

Expert Comment

by:ShannonEE
ID: 41837784
Hi there Tommy,

Your empirical probabilities are correct, but the odds are not.

odds = prob / (1 - prob)

so that for prob = 1/2, the odds are
(1/2) / (1 - 1/2) = (1/2) / (1/2) = 1: 1

further,
If prob = 0.1 then odds given by

0.1 - (1 - 0.1)
= 0.1 / 0.9
= 1 / 9
= 1 : 9

=======

Another way of thinking about it is
empirical probability = (count of positive outcome) / (total count)
empirical odds = (count of positive outcome) / (count of negative outcome)
 or
empirical odds = (count of positive outcome) : (count of negative outcome)


For the odds you cancel out any commen factors -
 That is you don't say 6 : 102 but rather 3 : 51 (cancelling out by 2) further reduced to 1 : 17 (cancelling out top and bottom by 3)  

You should be able to get the correct answers using the above information.

Ian
0
 
LVL 35

Expert Comment

by:Kimputer
ID: 41837989
@ShannonEE is correct for the odds, I glanced over it too quickly. Please post your answer for the odds again to check if you understood it correctly.
0

Featured Post

Free Tool: ZipGrep

ZipGrep is a utility that can list and search zip (.war, .ear, .jar, etc) archives for text patterns, without the need to extract the archive's contents.

One of a set of tools we're offering as a way to say thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
How do I pass arguments in a Builder design pattern ? 10 96
twoTwo  challenge 35 112
Fix45 challenge 15 150
Triangles - computing angles 6 54
Software development teams often use in-memory caches to improve performance. They want to speed up access to, or reduce load on, a backing store (database, file system, etc.) by keeping some or all of the data in memory.   You should implement a…
Have you ever thought of installing a power system that generates solar electricity to power your house? Some may say yes, while others may tell me no. But have you noticed that people around you are now considering installing such systems in their …
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

756 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question