Two players `P_1`, and `P_2`, are playing the final of a chase championship, which consists of a series of match Probability of `P_1`, winning a match is 2/3 and that of `P_2` is 1/3. The winner will be the one who is ahead by 2 games as compared to the other player and wins at least 6 games. Now, if the player `P_2`, wins the first four matches find the probability of `P_1`, wining the championship.

Explanation

To solve the problem step by step, we will analyze the situation and calculate the probability of player P1 winning the championship after player P2 has already won the first four matches.

### Step 1: Understand the Situation
Player P2 has won the first 4 matches, so the current score is:
- P1: 0 wins
- P2: 4 wins

To win the championship, P1 needs to win at least 6 matches and be ahead of P2 by at least 2 matches.
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