Consider the experiment composed of one roll of a fair die followed by one toss of a fair coin. Determine the probability of each of the following events.

$A: \ \lbrace$ An odd number appears on the die. $\rbrace$

$B: \ \lbrace$ An odd number appears on the die; an H appears on the coin. $\rbrace$

$C: \ \lbrace$ An H appears on the coin. $\rbrace$

$P(A)=$ $\ \ \ \ P(B)=$ $\ \ \ \ P(C)=$