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2.3 Probability

2.3 Probability

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Question 87

Given that

P(A)=0.4,P(B)=0.3andP(A∩B)=0.12 P(A) = 0.4, \quad P(B) = 0.3 \quad \text{and} \quad P(A \cap B) = 0.12 P(A)=0.4,P(B)=0.3andP(A∩B)=0.12

find

a.

P(A∪B)P(A \cup B)P(A∪B)

[2]
b.

P(B′∣A′)P(B' | A')P(B′∣A′)

[3]
c.

The event CCC has P(C)=0.25P(C) = 0.25P(C)=0.25.

The events AAA and CCC are mutually exclusive and the events BBB and CCC are independent.

Find P(B∩C)P(B \cap C)P(B∩C)

[2]
d.

Describe the configuration of a Venn diagram for events A,B,A, B,A,B, and CCC and state the probabilities for each distinct region.

[4]
e.

Find P((B∪C)′)P((B \cup C)')P((B∪C)′)

[2]
Markscheme

2.3 Probability Questions

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

200 exam-style questions on OCR (MEI) A Level Maths 2.3 Probability, covering 2.3.1 Calculate the probability of an event, 2.3.2 Complementary events, 2.3.3 Expected frequency of an event, 2.3.4 Diagrams to calculate probabilities, 2.3.5 Mutually exclusive and independent events, 2.3.6 Add probabilities for mutually exclusive events, 2.3.7 Multiply probabilities for independent events, 2.3.8 Mutually exclusive and independent events (notation) (A-level only), 2.3.9 Venn diagrams for probabilities (A-level only), 2.3.10 Conditional probabilities (A-level only), and 2.3.11 Independence via conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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