Spinner Game Probabilities

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At a school fair, a stall has a spinner game. The spinner is divided into sectors, coloured red, blue, and green. The probability of landing on red is 0.4, on blue is 0.35, and on green is 0.25. A player spins the spinner twice.

(a) Find the probability that both spins land on the same colour. [2]
(b) Find the probability that at least one spin lands on green. [3]

Part a

2 minutes 2 marks

Question

Find the probability that both spins land on the same colour. [2]



Hint Hint

Hint

Calculate P(RR) + P(BB) + P(GG) by squaring the individual colour probabilities.

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Complete Answer

0.345

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Part b

3 minutes 3 marks

Question

Find the probability that at least one spin lands on green. [3]



Hint Hint

Hint

Use P(at least one G) = 1 − P(no G on both spins).

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Complete Answer

0.4375

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