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.