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