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.

Respuesta :

Answer:

Winning probability is [tex]\frac{1}{3}[/tex]

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 =[tex]\frac{2}{6}[/tex]=[tex]\frac{1}{3}[/tex]

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

Thus probability =[tex]\frac{1}{6}[/tex]

multiple of three =1/3 & non multiple of three = 1/3

What is probability?

Probability is a branch of mathematics that deals with the occurrence of a random event.

the number obtained on the die is a multiple of three

multiple of three Probability = number of events/ total outcomes.

                   = 3/6

                     =1/3

Not multiple of three Probability = number of events/ total outcomes.

                   = 3/6

                     =1/3

the player wins an amount equal to the number on the die times = $20.

Learn more about probability here:-https://brainly.com/question/24756209

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