Question

A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.

Answer 1

Answer:

Winning probability is $\frac{1}{3}$

Step-by-step explanation:

Favourable outcomes to win are 3 and 6.

Total outcomes are six in fair dice.

So , probability of winning some money =$\frac{2}{6}$=$\frac{1}{3}$

To win $20*3 or $20*6 favourable outcome is 1 (3 and 6 respectively)

Thus probability =$\frac{1}{6}$