Question

2 marksare three fair siz-sided dice. Each die has two faces, two yellow faces and two red faces. All three dice are rolled. Find the probability of rolling exactly one red face

Answer 1

14.81%

Explanation:

A fair six-sided dice has a total of six sides meaning that there are 6 possible outcomes for each dice roll. If two of the faces on the dice are red, then the possibility of rolling a red on a single dice roll would be 2/6, while the probability of rolling anything else would be 4/6 because there are 4 other sides left. Now if we roll three seperate dice, in order to calculate the probability of getting only one red face we need to multiply the probability of getting a red face on the first dice by the probability of the other two dice getting anything else.

2/6 * 4/6 * 4/6 = 32/216 or 0.1481

We can multiply this decimal by 100 to get the percentage value...

0.1481 * 100 = 14.81%