Please help to solve this MCQ.

Detailed explanations for each option (why it's correct or wrong) are required.

Thanks!

9. Three friends -- Ann, Bob, and Cindy -- have a chocolate cake to share. The size of the cake is normalised to be 1. First, Ann cuts the cake into three pieces. Next, Bob chooses one of the three pieces. Then, Cindy chooses one for herself leaving the last piece for Ann. Each friend's payoff is the size of the cake s/he gets. If {a, b, c} denotes the slices of the cake going to Ann, Bob and Cindy respectively, then in a subgame perfect Nash equilibrium of this game, {a, b, c} will be: a) (.3.0} b) (2'6'3 C ) ( 5 13' 35 d) 1 1 WIH 6 2