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: Option C
Explanation
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})
There is an explanation video available below.