Question

A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.

1/12

1/2

1/6

Answer 1

1/12

Explanation:

First we calculate the probability of the coin tossed being a tails.

The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2

For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6

Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:

P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12

Answer 2

the probability is 1/12

Explanation:

The probability, P(Tails) to get tails is equal to:

`P(Tails)=(1)/(2)`

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

`P(3)=(1)/(6)`

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3)
`=(1)/(2)*(1)/(6)=(1)/(12)`