Skip to content

Course home

Sign up

2.3.10 Conditional probabilities (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334
Question 28

A survey of 120 software developers was conducted to determine which programming languages they used for a specific project: Python (PPP), Java (JJJ), and C++ (CCC). The results were as follows:

  • 54 used Python
  • 48 used Java
  • 42 used C++
  • 18 used Python and Java
  • 20 used Java and C++
  • 14 used Python and C++
  • 6 used all three languages
a.

Represent this information in a Venn diagram.

[4]
b.

A developer is chosen at random from the survey group.

Calculate the probability that the developer used Java but did not use Python or C++.

[1]
c.

Find the probability that the developer used Java or C++ or both.

[2]
d.

Given that the developer used Java or C++ or both,

calculate the probability that the developer did not use Python.

[3]
e.

Determine whether the events 'using Python' and 'using Java' are statistically independent. Justify your conclusion.

[3]
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.

Question bank