Question

If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3

1/2
1/9
1/6
1/2

Answer 1

Assuming the number cube is a die numbered 1-6,
The probability of flipping a coin and getting heads and the probability of rolling a 3 on the die are independent of each other.

-There are two sides of a coin, heads and tails. You have two possible results from the coin - heads, or tails. You have a 1 in 2 probability of getting either.

-There are six sides of a die. There are six possible results from the die - 1, 2, 3, 4, 5, and 6. You have a 1 in 6 probability of getting any of the results.

The probability of both happening (and) can be determined by multiplying the two probabilities.

Hope this helps!
-refrac532