Question

A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?
1/4
1
1/2
1/6

Answer 1

would this be 1/6

Answer 2

The two events are independent, so find each probability and multiply them together.

p(heads then even) = p(heads) * p(even)

Answer 3

or 1/2

Answer 4

What are p(heads) and p(even)?

Answer 5

heads 1/2 even 1/2

Answer 6

Correct.
Now multiply them together.

Answer 7

.25

Answer 8

so 1/4

Answer 9

?

Answer 10

yes

Answer 11

thanks

Answer 12

If events are independent, and you perform them, the overall probability is the product of the individual probabilities. Independent events are events whose outcomes are not influenced by each other. Once you toss the coin, the result of the coin toss has nothing to do with what you will get with the roll of the die. That is why theses are independent events.

Answer 13

You're welcome.