melissa24sanchez03 melissa24sanchez03
  • 03-04-2020
  • Mathematics
contestada

What is the probability of rolling at least one 5 or 6 when rolling the dice three times?

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SaltySpark
SaltySpark SaltySpark
  • 03-04-2020

Answer:

19/27

Step-by-step explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a [tex]\frac{2}{3}[/tex] chance each time you roll the dice. Thus raising this to the third power results in [tex]\frac{8}{27}[/tex]. Since we are looking for the inverse probability, we can do:

[tex]1-\frac{8}{27}[/tex] In order to get our final answer.

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