Final answer:
To find the probability that player 1 wins the tournament, we can consider the possible outcomes for each round and calculate the overall probability using p to the power of n, where n is the number of rounds.
Step-by-step explanation:
To find the probability that player 1 wins the tournament, we can consider the possible outcomes for each round. In the first round, player 1 must win their match. The probability of this happening is p. In the second round, player 1 must win the match to move on, and so on for each subsequent round. Therefore, the overall probability that player 1 wins the tournament can be calculated as p to the power of n, where n is the number of rounds.
For example, if there are 4 rounds, the probability would be p^4. If there are 5 rounds, the probability would be p^5, and so on.