Question

This is a general question but how does 11/18 become 11:7. How do you change fraction into odds and vice versa? Does the numerator go to the left and denominator - numerator right?

Answer 1

you are going from probabilities to odd right?

Answer 2

yes

Answer 3

\[\frac{11}{18}\] is a probability

Answer 4

gamblers use odd
so they interpret \(\frac{11}{18}\) like this:
out of every 18 games, i win 11, lose 7
odds in favor of me winning is \(11:7\) and odds against are \(7:11\)

Answer 5

Ohh okay I was a bit confused thanks for the explanation.

Answer 6

yw
the less intuitive but more mathematical explanation is
if the probability i win is \(p\) then the probability i lose is \(1-p\)
the odds on favor of me winning is therefore
\[p:1-p\] or
\[\frac{p}{1-p}\]