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Suppose Mike is playing a coin game as follows. First he throws three fair coins into the air (First Toss). For each heads, he wins

Suppose Mike is playing a coin game as follows. First he throws three fair coins into the air (First Toss). For each "heads", he wins a dollar. Then, he tosses the three coins again (Second Toss). For each "heads" on this second toss, he also wins a dollar. (So he can win anywhere from $0 to $6 in one play of the game.)

What is the probability of tossing three heads on the first toss?

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