CAN SOMEONE PLEASE HELP ME WITH MY STATISTICS HOMEWORK?? Two individuals, A and B, are finalist for a chess championship. They will play a sequence of games, each of which can result in a win for A, a win for B, or a draw. Outcomes of successive games are independent with P(A wins) =.3, P(B wins)= .2, P(draw)=.5. Each time a player wins a game he earns one point and opponent none, no points for draw. First player to win five points wins championship.

a. What is the probability that A wins the championship in just five games?
b. What is the probability that it takes just five games to obtain a champion?
c. If a draw earns a half point for each player, describe how you would perform a simulation to estimate P(A wins the championship).
d. If neither player earns any points from a draw, would the simulation in Part (c) take longer to perform? Explain your reasoning.
Can someone help me? :)