Question
Use the spinner to answer the question.
A spinner, using a circle divided into 8 wedges of alternating colors, is numbered 1 to 8. The spinner arrow points to 6.
Given that the spinner lands on blue, what is the probability that it lands on an even number?
(1 point)
Responses
50%
50%
38%
38%
67%
67%
25%
25%
Remaining Attempts : 3 out of the answer provide which one is correct
A spinner, using a circle divided into 8 wedges of alternating colors, is numbered 1 to 8. The spinner arrow points to 6.
Given that the spinner lands on blue, what is the probability that it lands on an even number?
(1 point)
Responses
50%
50%
38%
38%
67%
67%
25%
25%
Remaining Attempts : 3 out of the answer provide which one is correct
Answers
GPT-4o mini
To determine the probability that the spinner lands on an even number given that it lands on blue, we first need to identify the relevant information from the spinner's design.
The numbers on the spinner are from 1 to 8, and the even numbers within this range are 2, 4, 6, and 8. This means there are 4 even numbers.
Since the spinner is divided into 8 wedges of alternating colors, we can assume that half the segments would be blue and half would be another color (let’s say red). Given this, there should be 4 blue wedges and 4 red wedges.
Now, we need to figure out which of those blue wedges correspond to even numbers. If we assume:
- Blue: 1, 2, 5, 6
- Red: 3, 4, 7, 8
In this case, the blue even numbers would be 2 and 6.
So, among the 4 blue segments, there are 2 that are even (2 and 6).
Now we calculate the probability:
Number of favorable outcomes (blue and even) = 2 (which are 2 and 6)
Total outcomes that are blue = 4
Thus, the probability that it lands on an even number given that it lands on blue is:
Probability = (Number of favorable outcomes) / (Total blue outcomes)
Probability = 2 / 4 = 1/2 = 50%
Therefore, the correct response is **50%**.
The numbers on the spinner are from 1 to 8, and the even numbers within this range are 2, 4, 6, and 8. This means there are 4 even numbers.
Since the spinner is divided into 8 wedges of alternating colors, we can assume that half the segments would be blue and half would be another color (let’s say red). Given this, there should be 4 blue wedges and 4 red wedges.
Now, we need to figure out which of those blue wedges correspond to even numbers. If we assume:
- Blue: 1, 2, 5, 6
- Red: 3, 4, 7, 8
In this case, the blue even numbers would be 2 and 6.
So, among the 4 blue segments, there are 2 that are even (2 and 6).
Now we calculate the probability:
Number of favorable outcomes (blue and even) = 2 (which are 2 and 6)
Total outcomes that are blue = 4
Thus, the probability that it lands on an even number given that it lands on blue is:
Probability = (Number of favorable outcomes) / (Total blue outcomes)
Probability = 2 / 4 = 1/2 = 50%
Therefore, the correct response is **50%**.