5. A number cube has faces numbered 1 through 6, and a coin has two sides, heads and tails. The number cube will be rolled once, and the coin will be flipped once.
Find the probabilities of the following events. (Express your answers as fractions in lowest terms.)
a. The number cube shows a 6.
b. The coin shows heads.
c. The number cube shows a 6, and the coin shows heads.
d. The number cube shows a 6, or the coin shows heads.