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Kevin spins a spinner like the one shown and flips a coin. The probability of landing on purple and heads is 1/8. How many sections of the spinner should be colored purple?

Kevin spins a spinner like the one shown and flips a coin The probability of landing on purple and heads is 18 How many sections of the spinner should be colore class=

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Answer:  2 sections

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Explanation:

Let x be the number of purple sections.

x/8 represents the probability of landing on purple since we have 8 equal sections total of this pizza.

Multiply this with the probability of landing on heads (1/2)

(1/2)*(x/8) = x/16

x/16 is the probability of getting a purple section and having the coin land on heads.

Set that equal to the 1/8 mentioned in the instructions and solve for x.

x/16 = 1/8

8x = 16

x = 16/8

x = 2

Or you can solve like this

x/16 = 1/8

x/16 = 2/16

x = 2

Kevin needs to shade 2 of the sections purple.

Side note: It's a bit unfortunate that the entire paper is purple overall. Though I'm probably being a bit nitpicky right now.

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