A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only. Assume they always hit the board.
a) List the possible outcomes for a player throwing one dart.
b) List the possible outcomes if a player is throwing two darts.
c) What is the probability of a player winning with one dart? Remember to show all work. (This answer is based on geometric probability)
Use your answer from 3 to answer this question: If 25 players were to play this game, how many would you expect to win? Support your answer using words andnumbers.