Expiring Today—Celebrate National IT Professionals Day with 3 months of free Premium Membership. Use Code ITDAY17

x
Solved

# Dice Roll Probabilities

Posted on 2016-10-10
Medium Priority
185 Views
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?

a) p=310/1000 =0.31
odds for 31/100
b) p=600/1000 =0.6
odds for 3/5
0
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
• 2

LVL 36

Accepted Solution

Kimputer earned 2000 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

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 36

Expert Comment

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

Question has a verified solution.

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

Dependencies in Software Design In software development, the idea of dependencies (http://en.wikipedia.org/wiki/Coupling_%28computer_programming%29) is an issue of some importance. This article seeks to explain what dependencies are and where they …
This article seeks to propel the full implementation of geothermal power plants in Mexico as a renewable energy source.
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
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…
###### Suggested Courses
Course of the Month11 days, 7 hours left to enroll