A standard six-sided cube is rolled AND a coin is tossed. What is the probability that the cube shows a 3 and the coin is tails?

Question

a.1/12
b. 1/6
c. 1/3
d. 1/4

Answer 1

the two events are independent
... so the probability is the product of the individual probabilities

p(3 on the cube) = 1/6 ... one of six faces

p(tails) = 1/2 ... one of two sides

p(both) = 1/6 * 1/2