It is Marcie's first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space? 1/6 1/3 1/2 2/3

Answer:

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Theoretical probability that a roll will not land on a star

From the attachment, we have:

[tex]n = 12[/tex] --- Total space

[tex]Star = 4[/tex]

So, the theoretical probability that a roll will land on a star is:

[tex]P(Star) = \frac{n(Star)}{n}[/tex]

[tex]P(Star) = \frac{4}{12}[/tex]

[tex]P(Star) = \frac{1}{3}[/tex]

Using the complement rule, the probability that it will not land on a star is:

[tex]P(Not\ Star) = 1 - P(Star)[/tex]

[tex]P(Not\ Star) = 1 - \frac{1}{3}[/tex]

Take LCM

[tex]P(Not\ Star) =\frac{3-1}{3}[/tex]

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Answer:

Look at the photo below

Step-by-step explanation:

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