StudentAidProbability & Statistics 1 — Variant 1
A Level Mathematics · 9709/51 · Oct/Nov 2022
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.
5
A game is played with an ordinary fair -sided die. A player throws the die once. If the result is , , or , that result is the player's score and the player does not throw the die again. If the result is or , the player throws the die a second time and the player's score is the sum of the two numbers from the two throws.
5(a)
[2]
Draw a fully labelled tree diagram to represent this information. Events and are defined as follows. : the player's score is or : the player has two throws
5(b)
[3]
Show that .
5(c)
[2]
Determine whether or not events and are independent.
5(d)
[3]
Find .
Published by Cambridge Assessment International Education. Reproduced for study use.