A spinner is evenly divided into eight sections: three are red, three are white and two are green. If the spinner is spun twice, then the probability of getting the same color twice is

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Answer:

11/32

Step-by-step explanation:

Given that:

Red section (R) = 3 ; white section (W) = 3 ; green section (G) = 2

Total Number of sections = 8

Probability of getting the same color on two spins :

Probability = (required outcome / Total possible outcomes)

Either P(RR) or P(WW) or P(GG)

(3/8 * 3/8) + (3/8 * 3/8) + (2/8 * 2/8)

9/64 + 9/64 + 4/64

(9 + 9 + 4) / 64

22 / 64

= 11/32

the probability of getting the same color twice is

[tex]\frac{11}{32}[/tex]

Given :

A spinner is evenly divided into eight sections: three are red, three are white and two are green.

Total of 8 sections.

red=3

white =3

green =2

Probability of getting two red color =[tex]\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}[/tex]

Probability of getting two white colors =[tex]\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}[/tex]

Probability of getting two green colors=[tex]\frac{2}{8} \cdot \frac{2}{8}= \frac{4}{64}[/tex]

Probability (getting same color twice)=[tex]\frac{9}{64} + \frac{9}{64}+ \frac{4}{64}=\frac{22}{64} =\frac{11}{32}[/tex]

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