Skip to content

Course home

Sign up

2.2 Conditional Probability

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647
Question 29

A survey of 80 software developers is conducted to investigate the programming languages they use.

It is found that, of the 80 developers:

  • 50 developers use Python
  • 32 developers use Java
  • 20 developers use both Python and Java
a.

A developer is selected at random from the 80 surveyed. Determine whether the event 'the developer uses Python' and the event 'the developer uses Java' are independent.

[2]
b.

In a cybersecurity firm, the following probabilities are known for a specific server over a given interval:

  • the probability of a Denial of Service (DoS) attack is P(A)=0.15P(A) = 0.15P(A)=0.15
  • the probability of a Brute Force attempt is P(B)=0.28P(B) = 0.28P(B)=0.28
  • the probability of a DoS attack occurring given that a Brute Force attempt has occurred is P(A∣B)=0.25P(A|B) = 0.25P(A∣B)=0.25

Calculate the probability that the server experiences a DoS attack, a Brute Force attempt, or both.

[3]
Markscheme

2.2 Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /2.2 Conditional Probability

58 exam-style questions on Edexcel A Level Maths 2.2 Conditional Probability. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank