Question

You spin the spinner shown below once. Each sector shown has an equal area.

What is \text{P(shaded sector})P(shaded sector)start text, P, left parenthesis, s, h, a, d, e, d, space, s, e, c, t, o, r, end text, right parenthesis?

If necessary, round your answer to 222 decimal places.

Answer 1

From the spinner image you provided, it appears that the shaded sector is one of the eight equal sectors on the spinner.So the probability of landing on the shaded sector is 1/8.

Since all sectors are equal, the probability of landing on the shaded sector is simply the ratio of the area of the shaded sector to the total area of the spinner.

Since there are eight sectors in total, the area of one sector is 1/8 of the total area of the spinner.

The shaded sector occupies one of these eight sectors, so its area is also 1/8 of the total area of the spinner.

Therefore, the probability of landing on the shaded sector is:

P(shaded sector) = Area of shaded sector / Total area of spinner

= (1/8) / (8/8)

= 1/8

So the probability of landing on the shaded sector is 1/8.