HINT, THE VALUE OF NODE IS GREATER THAN 0.50, BUT LESS THAN 2.52!

NODES 12, 8, 7, 5, 4, AND 3 ARE CORRECT, IF YOU DON'T THINK THEY ARE, DON'T BOTHER REPLYING, YOU WILL BE DOWNVOTED!

What is the expected profit at Node 2, Node 1, and Node 0 (the value of the game) using backward induction? (please show your work)

This question has been solved. Don't answer it. I will DOWNVOTE you if you do.

Node 3 Stop $2 : 1/3 Red Black P = 2/2 Node 1 Node 7 Stop $1 P = 1/1 P 1/2 Red Red Black Black 1/2 P = 2/3 Start- Node 0 Node 4 Play $0.50 End - Node 12 Game over $0 P = 2/3 P = 1/2 Red P=1 $d Black Black Node 2 P = 1/1 Node 8 Play $0 Red P = 1/3 Black P = 2/2 Node 5 Play $0 Node 3 Stop $2 : 1/3 Red Black P = 2/2 Node 1 Node 7 Stop $1 P = 1/1 P 1/2 Red Red Black Black 1/2 P = 2/3 Start- Node 0 Node 4 Play $0.50 End - Node 12 Game over $0 P = 2/3 P = 1/2 Red P=1 $d Black Black Node 2 P = 1/1 Node 8 Play $0 Red P = 1/3 Black P = 2/2 Node 5 Play $0