"if a fair coin is flipped and a standard 6 sided die is rolled, what is the" likelihood of getting 'heads' on the coin and a '5' on the die?

Respuesta :

These are independent events so the added probability is calculated by multiplying the two separate probabilities.

To get heads is 1/2

To roll 5 is 1/6


So P=1/2 * 1/6 =1/12

You get heads half of the times, since you have one, good outcome out of two.

Similarly, you get 5 on the die once every six times, on average.

These events happens simultaneously with probability [tex] \frac{1}{2}\cdot\frac{1}{6}=\frac{1}{12} [/tex]