JEE Advanced 2020 Full Test 6 Paper 2

Die A has 4 red and 2 white faces whereas die B has 2 red and 4 white faces. A coin is flipped once. If it shows a head, the game continues by throwing die A, if it shows tail, then die B is to be used. If the probability that die A is used is 32∕33. When it is given that red throws up every time in first n throws, then find the value of n?