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.

Of the at-home games, we are interested in finding what proportion were wins. In order to figure this out, we need to find: