What is the probability of obtaining a head and a six when a fair coin and and a die are tossed together?
-
A.
(frac{1}{12}) -
B.
(frac{1}{3}) -
C.
(frac{1}{2}) -
D.
(frac{2}{3})
Correct Answer: Option D
Explanation
(text{p(a head and a six)} = text{p(a head)} + text{p(a six)})
= (frac{1}{2} + frac{1}{6} = frac{2}{3}).
Hint: Probability of A and B occurring should be greater than probability A or B happening.