Question

Using a fair coin and a fair six-sided
number cube, what is the probability of
tossing tails and rolling a multiple of 3?

Answer 1

Does this have options?

Answer 2

no

Answer 3

okay, so does it want two separate ratios, one for the coin and one for the cube?

Answer 4

Okay. So we need to identify the sides for each one:

Let's start with the coin. The coin has two sides, meaning that it would have a 1/2 chance of landing on tails.

Now the cube. First we identify how many sides are on it. We know that there are 6 sides on the cube. Next, we find our multiples of 3. On this cube there are only two possible multiples of 3: 3 and 6. If there are six sides, then it would be a 2 / 6 of a chance of landing on either of those two numbers. 2/6 simplifed is 1 / 3.

So, your answer is there is a 1:2 chance of landing on tails, and a 1:3 chance of landing on a multiple of 3.

Answer 5

@iGreen , am I correct in my explanation?

Answer 6

Find the multiples of 3..

Answer 7

1-6

3, 6

So the probability is 2/6 or 1/3.

Now find the probability of tossing a tails.

1 tail out of 2 possibilities = 1/2

So multiply 1/2 * 1/3 and you got your answer.

Answer 8

@Zyi6 Yep, you got it.

Answer 9

1/3×1/2