Question

A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the number pointing north recorded. Estimate the central angle of the section labeled 4.

4 3 2 1 9 8 5 6 7 4 3 2 1 5 8 6 5 4

A. 72
B. 3/18
C. 60
D. 0.2

Answer 1

There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is
`(3)/(8)`

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

A circle is divided into 9 uneven pie shaped pieces.

Each section is labeled 1 to 9.

When the circle is spun and the number pointing north it will be recorded:

4 3 2 1 9 8 5 6 7 4 3 2 1 5 8 6 5 4

We need to find the central angle of the section labeled 4.

Number of times 4 occur= 3

Total number of times it has been recorded = 18

So, Probability of getting "4" is given by

`\frac{\text{Numberof favourable outcomes}}{\text{Total number of outcomes }}\\\\=(3)/(18)\\\\=(1)/(6)`

Hence, Option 'B' is correct.