A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coins comes up tails?

A. 1/3
B. 1/4
C. 1/6
D. 1/12

what is 1/6*1/2 ?

1/6

1/4

yeah its 1/4

To find the probability of two events both occurring, you need to multiply the probabilities of each event individually.

First, let's determine the probability of rolling a four on the number cube. Since the number cube has six equally likely outcomes (numbers 1 to 6), and only one of those outcomes is a four, the probability of rolling a four is 1/6.

Next, let's determine the probability of the coin coming up tails. Since there are two equally likely outcomes (heads or tails) and we want tails, the probability of getting tails is 1/2.

To find the probability of both events occurring, multiply the individual probabilities: (1/6) * (1/2) = 1/12.

Therefore, the correct answer is D. 1/12.