Suppose a basketball team had a season of games with the following characteristics: 60% of all the games were at-home games. Denote this by H (the remaining were away games). 25% of all games were wins. Denote this by W (the remaining were losses). 20% of all games were at-home wins. If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose a basketball team had a season of games with the following characteristics:

  • 60% of all the games were at-home games. Denote this by H (the remaining were away games).
  • 25% of all games were wins. Denote this by W (the remaining were losses).
  • 20% of all games were at-home wins.

If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)

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