Core stretch A school survey is shown by the pie chart. The five sector angles for clubs A, B, C, D

Question

Core stretch

A school survey is shown by the pie chart. The five sector angles for clubs A, B, C, D and E are $72^\circ,96^\circ,108^\circ,48^\circ,36^\circ$, respectively.

Find the probability that a randomly selected student chose
1. club C,[1]
2. club B or E.[1]
A student claims exactly one third chose A or D. Determine whether the claim is true.[1]

Accepted Answer

(a)(i) $\frac{3}{10}$ (ii) $\frac{11}{30}$ (b) true.

Probabilities from a category pie chart

Probabilities from a category pie chart

Solution:

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