Question

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 red.

spinner divided evenly into eight sections numbered 1 through 8 with three colored blue, one red, two purple, and two yellow

Determine the theoretical probability of the spinner landing on yellow, P(yellow).

0.125
0.25
0.625
0.75

Answer 1

.25

Explanation:

two sections of the spinner are yellow

2÷8= 0.25

2 yellow sections and 8 total colored sections.

Answer 2

0.25

Explanation:

Theoretical probability refers to the likelihood of an event occurring based on mathematical calculations and assumptions, without any actual experimentation or observation.

To calculate theoretical probability, divide the number of times an event can occur by the total number of possible outcomes.

`\boxed{\sf Probability\:of\:an\:event\:occurring = (Number\:of\:ways\:it\:can\:occur)/(Total\:number\:of\:possible\:outcomes)}`

If the spinner is divided evenly into 8 sections, where 2 sections are yellow:

• The number of ways the spinner can land on yellow is 2.
• The total number of possible outcomes is 8.

Therefore, the theoretical probability of the spinner landing on yellow is:

`\sf P(yellow)=(2)/(8)=0.25`