# Probability coin and die Question

I started by looking at the probability of any given situation and maybe making a tree but my professor hasn't explained things very well and most the notes I see online are overwhelming

A Game of Coin and Die. This game is played with a fair coin and a die. First player flips a coin. If it turns out head(H), the player proceeds with tossing a die. If it turns out tail(T), the player proceeds with flipping a coin for the second time. The player wins if it gets head on the first tossing and 6 on the second or tails on both flips of coin. What is the probability of winning a game?

Is it simply the probability of getting heads and multiplied by the probability of getting a 6?

(Mentor note: thread moved here from General Math hence no template)

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micromass
Staff Emeritus
Homework Helper
Are you familiar with the concept of conditional probability and independence? That is, ##\mathbb{P}(A|B) = \frac{\mathbb{P}(A\cap B)}{\mathbb{P}(B)}##.

Vaguely, I believe he mentioned it but I couldn'tt understand his accent

micromass
Staff Emeritus