A survey of 500 television viewers produced the following information: 285 watch
football, 195 watch hockey, 115 watch basketball, 45 watch football and
basketball, 70 watch football and hockey, 50 watch hockey and basketball, 50 do
not watch any of the three games. Create a Venn diagram and then determine
the probability that a viewer selected at random will watch
(a) all three games.
(b) exactly one of the three games.