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

User Bayman
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1 Answer

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Final answer:

The correct option related to the spinner's probability is that the probability of landing on blue (3/8) is greater than that of landing on purple (2/8). The other statements provided are incorrect based on the proportion of sections for each color on the spinner.

Step-by-step explanation:

Understanding Spinner Probabilities

When examining probabilities associated with a spinner, it is important to consider the proportional size of each section and how that relates to the overall likelihood of the spinner landing on a particular color. Here, the spinner is divided into eight equal parts with different color repetitions: two purple, two yellow, three blue, and one orange.

To determine the probability of the spinner landing on a certain color, we use the number of sections of that color divided by the total number of sections. For blue, the probability is 3 out of 8 since there are three blue sections. For purple, the probability is 2 out of 8, which is less than blue. Comparatively, the yellow sections also represent 2 out of 8, which is the same probability as purple. Finally, the probability of landing on orange, which has only one section, is 1 out of 8, and is therefore less than both blue and purple.

Applying this to the given statements, we can confirm the following:

• The probability of landing on blue is greater than the probability of landing on purple.

• The probability of landing on yellow is less than the probability of landing on orange is incorrect since they have an equal probability.

• The probability of landing on orange is equal to the probability of landing on yellow is incorrect as orange's probability is less.

• The probability of landing on purple is equal to the probability of landing on blue is incorrect since the probability for blue is higher.

Therefore, the correct option is: The probability of landing on blue is greater than the probability of landing on purple.

User Genzer
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