9709 P51 - Nov 2023 - Q2
3106
Hazeem repeatedly throws two ordinary fair 6-sided dice at the same time. On each occasion, the score is the sum of the two numbers that she obtains.
(a) Find the probability that it takes exactly 5 throws of the two dice for Hazeem to obtain a score of 8 or more.
(b) Find the probability that it takes no more than 4 throws of the two dice for Hazeem to obtain a score of 8 or more.
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