Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?

A.

\(\frac{1}{16}\)

B.

\(\frac{1}{6}\)

C.

\(\frac{1}{4}\)

D.

\(\frac{3}{8}\)

Correct answer is C

P( tail on a coin) = \(\frac{1}{2}\)

  Even numbers on a care 2, 4 and 6

  P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\)

  P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\)