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2.3 M: Probability

2.3 M: Probability

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Question 114
a.

Given that P(X)=xP(X) = xP(X)=x and P(Y)=yP(Y) = yP(Y)=y, express P(X∪Y)P(X \cup Y)P(X∪Y) in terms of xxx and yyy when: (i) XXX and YYY are mutually exclusive, (ii) XXX and YYY are independent.

[2]
b.

Two events CCC and DDD are such that

P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2 P(C \cap D') = 0.25, \quad P(D) = 0.40 \quad \text{and} \quad P(C|D) = 0.2 P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2

Find the value of: P(C∪D)P(C \cup D)P(C∪D)

[1]
c.

P(C∩D)P(C \cap D)P(C∩D)

[2]
d.

P(C)P(C)P(C)

[2]
Markscheme

2.3 M: Probability Questions

  1. A Level
  2. /Maths
  3. /2.3 M: Probability

198 exam-style questions on AQA A Level Maths 2.3 M: Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Conditional probability (A-level only), 2.3.3 Modelling with probability (A-level only), and 2.3 M: Probability. Each one has a worked solution and a mark scheme showing where the marks go.

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