The diagram shows a circle divided into three sectors A, B and C with central angles $90^\circ$, \

Question

The diagram shows a circle divided into three sectors A, B and C with central angles $90^\circ$, $120^\circ$ and $150^\circ$, respectively. Sectors A and B are shaded. The arrow is spun and cannot land on a boundary. Let $A$, $B$, $C$ and $S$ denote landing in sector A, B, C and a shaded region, respectively.

$P(B)$;
$P(S)$;
$P(A|S)$.

[6]

Accepted Answer

(a) $ \frac{1}{3}$ (b) $\frac{7}{12}$ (c) $\frac{3}{7}$

Calculate spinner-sector, shaded-region and conditional probabilities.

Calculate spinner-sector, shaded-region and conditional probabilities.

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