You are in the library diligently studying for your exam, and your friend is trying to get your attention using only two words. She has said a word but you couldn't hear one of the words:

( W₁= hi, W₂= yo, W₃= ?, W₄= yo )

Assume that your friend was generating words from thisfirst-order Markov model:

P( hi | hi ) = 0.60,

P( yo | hi ) = 0.30,

P( hi | yo ) = 0.50,

P( yo | yo ) = 0.50

Given these parameters, what is theposterior probabilityof whether the missing word is"hi"or"yo" ?

Hint:CalculateP( W3 |. W1 , W2, W4 )