StudentAidProbability & Statistics 1 — Variant 3
A Level Mathematics · 9709/53 · Oct/Nov 2022
Questions
2 of 7 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
[5]
In a large college, of the students have blue eyes. A random sample of students is chosen. Use an approximation to find the probability that fewer than of these students have blue eyes.
7
Sam and Tom are playing a game which involves a bag containing white discs and red discs. They take turns to remove one disc from the bag at random. Discs that are removed are not replaced into the bag. The game ends as soon as one player has removed two red discs from the bag. That player wins the game. Sam removes the first disc.
7(a)
[2]
Find the probability that Tom removes a red disc on his first turn.
7(b)
[4]
Find the probability that Tom wins the game on his second turn.
7(c)
[2]
Find the probability that Sam removes a red disc on his first turn given that Tom wins the game on his second turn.
Published by Cambridge Assessment International Education. Reproduced for study use.