StudentAidProbability & Statistics 1 — Variant 1
A Level Mathematics · 9709/51 · Oct/Nov 2023
Questions
1 of 6 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.
2
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.
2(a)
[2]
Find the probability that it takes exactly 5 throws of the two dice for Hazeem to obtain a score of 8 or more.
2(b)
[2]
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.
2(c)
[3]
For 8 randomly chosen throws of the two dice, find the probability that Hazeem obtains a score of 8 or more on fewer than 3 occasions.
Published by Cambridge Assessment International Education. Reproduced for study use.