A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

Which statement about probability is true?

The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.

1 answer

The statement "The probability of landing on purple is equal to the probability of landing on blue" is true.

There are two purple sections and three blue sections on the spinner, so the probability of landing on purple is 2/8 or 1/4. The probability of landing on blue is 3/8, which is also 1/4 when simplified. Therefore, the probability of landing on purple is equal to the probability of landing on blue.
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