Ben and Sam Are Competing for the Remaining Spot on the National

Multiple Choice

Ben and Sam are competing for the remaining spot on the national swim team.If one of these two swimmers hires a personal trainer,that swimmer will win the spot.If both swimmers hire a personal trainer,they have a 50% chance of winning the place on the team;if neither swimmer hires a personal trainer,they still have a 50% chance of winning the place.The table below shows the payoff matrix facing the swimmers.Whoever makes the team will earn $100,000 next year from product endorsements.
-Refer to the information above.If only Ben can afford to hire a personal trainer,then

A) Sam has 100% chance of winning the place on the swim team.
B) Sam has a 50% chance of winning the place on the swim team.
C) Ben has 100% chance of winning the place on the swim team.
D) Ben has a 50% chance of winning the place on the swim team.
E) Ben has an unknown chance of winning the place on the swim team.