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In a tennis tournament, if player X has a 75% win rate and plays 12 matches, how

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Question: In a tennis tournament, if player X has a 75% win rate and plays 12 matches, how many matches is player X expected to win?

Options:

  1. 6
  2. 8
  3. 9
  4. 10

Correct Answer: 9

Solution:

With a 75% win rate, player X is expected to win 0.75 * 12 = 9 matches.

In a tennis tournament, if player X has a 75% win rate and plays 12 matches, how

Practice Questions

Q1
In a tennis tournament, if player X has a 75% win rate and plays 12 matches, how many matches is player X expected to win?
  1. 6
  2. 8
  3. 9
  4. 10

Questions & Step-by-Step Solutions

In a tennis tournament, if player X has a 75% win rate and plays 12 matches, how many matches is player X expected to win?
  • Step 1: Understand that a 75% win rate means player X wins 75 out of every 100 matches.
  • Step 2: Convert the win rate percentage to a decimal. 75% as a decimal is 0.75.
  • Step 3: Determine the total number of matches player X plays, which is 12 matches.
  • Step 4: Multiply the win rate (0.75) by the total number of matches (12) to find the expected wins.
  • Step 5: Calculate 0.75 * 12, which equals 9.
  • Probability and Expected Value – The question tests the understanding of calculating expected outcomes based on probability.
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