Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Conditional Probabilities in Venn Diagrams

Medium
1234567891011121314151617181920212223242526272829303132
Question 20

An IT security firm analyzes 250 detected cyber-threats over a weekend. Threats are classified into three categories: Malware (MMM), Phishing (PPP), and Denial of Service (DDD).

  • 140 involve Malware,
  • 120 involve Phishing,
  • 105 involve Denial of Service,
  • 65 involve both Malware and Phishing,
  • 55 involve both Phishing and Denial of Service,
  • 45 involve both Malware and Denial of Service,
  • 20 involve all three categories.
a.

Draw a Venn diagram to represent this information.

[3]
b.

A threat is selected at random from the database. Find the probability that this threat involves:

none of the three categories,

[1]
c.

A threat is selected at random from the database. Find the probability that this threat involves:

Denial of Service only.

[1]
d.

Threats categorized as 'Advanced Persistent Threats' (APT) are those that involve both Phishing and Denial of Service. Given that a randomly selected threat is an APT,

find the probability that this threat also involves Malware.

[2]

Conditional Probabilities in Venn Diagrams Questions

  1. A Level
  2. /Maths
  3. /Conditional Probabilities in Venn Diagrams

Practise Edexcel A Level Maths Conditional Probabilities in Venn Diagrams with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank