Originally Posted by James Brown
I am curious Rich, if you are able to acknowledge that as a matter of mathematics, the odds in your example above are in fact 1 to 9 odds.
By definition: odds = the ratio of the probability of something happening to the probability of that something not happening. (citation in earlier post).
* probability of picking winning ticket, one try, your example = 1/10 = 0.1
* probability of not picking winning ticket = 9/10 = 0.9 (expanded form is : ((1 - 0.1) = 0.9)
* odds by definition = 0.1/0.9 (citation in earlier post)
* expanded form, as James pointed out, odds = 0.1/(1-0.1) = 0.1/0.9
* odds therefore are by mathematical definition 1/9, most correctly pronounced as "odds of 1 to 9"
Go ahead and literally make my day. Acknowledge that as a matter of mathematics, the odds in your example above are in fact 1 to 9 odds.
He will still not get it, and will call you stupid for it - LOL.
Admittedly, it's a very non-intuitive problem and solution.