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9709 P62 - Nov 2011 - Q5
2562

A triangular spinner has one red side, one blue side and one green side. The red side is weighted so that the spinner is four times more likely to land on the red side than on the blue side. The green side is weighted so that the spinner is three times more likely to land on the green side than on the blue side.

(i) Show that the probability that the spinner lands on the blue side is \(\frac{1}{8}\).

(ii) The spinner is spun 3 times. Find the probability that it lands on a different coloured side each time.

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