Question

Dario rolled a number cube and flipped a coin. The number has six sides , each side labeled either 1,2,3,4,5, or 6. Part A what is the probability that Dario rolled a 4 on the number cube and obtained a head after flipping a coin?

Answer 1

The possibility is 1/12 as there are 6 ways to roll a number and a head side and 6 ways to roll a number and a tail side.

Answer 2

It is given in the question that, Dario rolled a number cube and flipped a coin. The number has six sides , each side labeled either 1,2,3,4,5, or 6.

Probability of getting a 4 is

$\frac{1}{6}$

Probability of getting a head is

$\frac{1}{2}$

Therefore, probability that Dario rolled a 4 on the number cube and obtained a head after flipping a coin is the product of the two probabilities , that is

$\frac{1}{6} * \frac{1}{2} = \frac{1}{12}$