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2.3.10 Conditional probabilities (A-level only)

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Question 18

In an automated greenhouse, a monitoring system tracks high humidity levels (event HHH) and the activation of the mist irrigation system (event WWW). It is observed that:

P(H′∩W)=0.18andP(H′∩W′)=0.42 P(H' \cap W) = 0.18 \quad \text{and} \quad P(H' \cap W') = 0.42 P(H′∩W)=0.18andP(H′∩W′)=0.42
a.

Find P(H)P(H)P(H).

[2]
b.

Find P(H∪W)P(H \cup W)P(H∪W).

[2]
c.

Given that P(H∣W)=0.1P(H|W) = 0.1P(H∣W)=0.1,

find P(H∩W)P(H \cap W)P(H∩W).

[3]
d.

Determine whether or not HHH and WWW are independent.

[2]
Markscheme

2.3.10 Conditional probabilities (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.3.10 Conditional probabilities (A-level only)

164 exam-style questions on OCR (MEI) A Level Maths 2.3.10 Conditional probabilities (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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