Question

1. chelsea has a spinner with 7 equal sections. she spun the spinner multiple times and recorded the results below.

spinner results

color	frequency
yellow	3
blue	15
red	4
purple	6

based on the results which two statements are not true?
a. there is an equal chance of spinning a green or a yellow combined as it is to spin a blue.
b. the color green is more likely to occur than yellow, red, and purple combined.
c. it is 5 times as likely to spin a blue as it is to spin a yellow.
d. the color red is less likely to occur than the colors green and blue combined.
e. it is twice as likely to spin a yellow as it is to spin a purple.

Explanation:

Step1: Analyze Option A

Green frequency: 12, Yellow frequency: 3. Combined green + yellow: \(12 + 3 = 15\). Blue frequency: 15. So \(15 = 15\), A is true.

Step2: Analyze Option B

Yellow + Red + Purple: \(3 + 4 + 6 = 13\). Green frequency: 12. \(12 < 13\), so green is not more likely. B is not true.

Step3: Analyze Option C

Blue frequency: 15, Yellow frequency: 3. \(15\div3 = 5\), so 5 times as likely. C is true.

Step4: Analyze Option D

Green + Blue: \(12 + 15 = 27\). Red frequency: 4. \(4 < 27\), so red is less likely. D is true.

Step5: Analyze Option E

Yellow frequency: 3, Purple frequency: 6. \(3\div6 = \frac{1}{2}\), so yellow is half as likely as purple, not twice. E is not true.

Answer:

B. The color green is more likely to occur than yellow, red, and purple combined.
E. It is twice as likely to spin a yellow as it is to spin a purple.