# A number cube is rolled and a coin is tossed. What is the probability of rolling a 5 and tossing tails?

##### 1 Answer

Because these events are independent, you can get the probability of of rolling a 5 and tossing tails by multiplying the probabilities of the two events together.

This gives you

#### Explanation:

Assuming the cube is 6-sided and is fair, the probability of rolling a

Assuming the coin is fair, the probability of tossing tails is

Therefore, to get the probability of rolling a

Note: This is only possible because the events are *independent*. If the outcome of one affected the outcome of the other, you would not be able to simply multiply the probabilities together