Christracks9810 Christracks9810
  • 21-05-2021
  • Mathematics
contestada

A fair dice is rolled . work out the probability of getting a factor of 8 Give your answer in it's simplest form

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MrRoyal
MrRoyal MrRoyal
  • 25-05-2021

Answer:

[tex]Pr = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice

[tex]n(S) = 6[/tex]

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

[tex]Multiples = \{1.,2,4\}[/tex]

[tex]n(Multiples) = 3[/tex]

So, we have:

[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]

[tex]Pr = \frac{3}{6}[/tex]

Simplify

[tex]Pr = \frac{1}{2}[/tex]

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