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
\(\frac{3}{8}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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 \(\frac{1}{2}\) = \(\frac{1}{4}\)
Source: Myschool Past Questions Archive (Record #47582)