Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coins 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 turns up every time in first `n` throws, then find the value of `ndot`

Explanation

To solve the problem step by step, we will analyze the situation involving the two dice and the coin flip.

### Step 1: Define Events
Let:
- \( E_1 \): Event that die A is used (coin shows heads).
- \( E_2 \): Event that die B is used (coin shows tails).
- \( R \): Event that a red face appears in each of the \( n \) throws.

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