My daughter likes to play Candyland. This is a game with colored spaces on a board. There are $66$ cards to draw from that either have a single color, double color, or a face $($a type of candy that is on the board$).$ The cards help you move on the board. A single color moves you forward to the next same color on the board. A double color lets you move forward to the second same color on the board. A face card lets you move forward or backward to the same face on the board. A table with the number of cards by type is given below. This is the sample space for the cards.

Type Single Double Total

Face $606$

Orange $6410$

Yellow $6410$

Red $6410$

Blue $6410$

Purple $6410$

Green $6410$

Total $422466$