Mathematics, 15.12.2020 15:30 mendezmarco2004

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 from: moosaw500

the probability of getting the same color twice is

$\frac{11}{32}$

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 = $\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}$

Probability of getting two white colors = $\frac{3}{8} \cdot \frac{3}{8}= \frac{9}{64}$

Probability of getting two green colors= $\frac{2}{8} \cdot \frac{2}{8}= \frac{4}{64}$

Probability (getting same color twice)= $\frac{9}{64} + \frac{9}{64}+ \frac{4}{64}=\frac{22}{64} =\frac{11}{32}$

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Answer from: deehunchoo

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

Answer from: Quest

Definitely

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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