Okay, so the initial odds are \(20% : 80%\) = \(1 : 4\), and the likelihoods are \(90% : 30%\) = \(3 : 1\)\. Multiplying those ratios gives final odds of \(3 : 4\), which converts to a probability of 3/7ths\.

How did it convert to 3/7th is unclear.

by yassine chaouche May 16 2017

Okay, so the initial odds are \(20% : 80%\) = \(1 : 4\), and the likelihoods are \(90% : 30%\) = \(3 : 1\)\. Multiplying those ratios gives final odds of \(3 : 4\), which converts to a probability of 3/7ths\.

How did it convert to 3/7th is unclear.