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2.3 Probability

2.3 Probability

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Question 154
a.

Two events EEE and FFF satisfy P(E∩F)=0P(E \cap F) = 0P(E∩F)=0. State the technical term used to describe the relationship between these two events.

[1]
b.

A diagnostic test uses two separate chemical indicators, Alpha (AAA) and Beta (BBB), to detect a specific enzyme. Indicator AAA activates independently of indicator BBB.

The probability that indicator AAA activates is 34\frac{3}{4}43​. The probability that at least one of the indicators activates is 1720\frac{17}{20}2017​.

Determine:

P(B)P(B)P(B)

[2]
c.

P(A∩B′)P(A \cap B')P(A∩B′)

[2]
d.

P(A′∣B)P(A' | B)P(A′∣B)

[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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