Practice FT1 Q11 - Looking for a detailed, worked solution with theoretical explanation

Agame is played with three dice. - There a 'selecfor"die with six faces: one of the faces is red and ve are blue. - There is a red die with twenty faces: one [ass is marked 'WIH" and the nineteen others are marked \"LOSE". - There is a blue die with twelve faces: one face is marked 'WIH' and the eleven others are marked \"LOSE\". All three diee are rolled. The player wi'Is if and only ifeither: the seleetrl' die turns up red and the red die turns up "MN". or the selector die turns up blue and the blue die turns up 'WIH\". all Find the probability ofwi'lning this game. bl lGiven that the game was won, what is the probability that the selector die turned up red? 6} Given that at least one of the red and blue dine turned up 'WIH\