In the accompanying diagram a fair spinner is placed at the centre O of the circle Diameter AOB and radius OC divide the circle into three regions labelled X, Y and Z. It ∠BOC = 45°. What is the probability that the spinner will land in the region X? (in the given figure).

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Solution

Given: A fair spinner is placed at the centre O of the circle. Diameter AOB and radius OC divide the circle into three regions labeled X, Y and Z and angle

To find: Probability that the spinner will land in X region?

Total angle of circle is 360°.

We know that PROBABILITY =

Hence probability of “spinner will land in X region” is

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