Board game probability

Discrete Mathematics Level 2

A group of friends is playing a board game.

It is Mike's turn, and he is almost at the finish. Mike will roll a fair six-sided die to determine how many spaces he moves, and then he will flip a coin to determine if he goes forwards or backwards.

Mike needs to move forward at least 4 spaces to win. What is the probability that Mike wins the game on this turn?

Image Credit: Gadini

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