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 0 heads on the first toss?