Skip to content

Course home

4.1.1 Probability (A-level only)

4.1.1 Probability (A-level only)

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108
Question 89

A conference organizer surveyed 40 attendees regarding their participation in the Keynote speech and the Technical Workshop. He found that, of the 40 attendees:

  • 25 attended the Keynote speech
  • 16 attended the Technical Workshop
  • 10 attended both the Keynote and the Workshop
a.

An attendee is chosen at random from the 40 surveyed. Determine whether the event 'the attendee attended the Keynote speech' and the event 'the attendee attended the Technical Workshop' are independent.

[2]
b.

For a regional library network, it is known that:

  • the probability that a registered user borrows an e-book is P(E)=25P(E) = \frac{2}{5}P(E)=52​
  • the probability that a registered user borrows an audiobook is P(A)=37P(A) = \frac{3}{7}P(A)=73​
  • the probability that a registered user borrows an audiobook given that they borrow an e-book is P(A∣E)=14P(A|E) = \frac{1}{4}P(A∣E)=41​

Calculate the probability that a registered user borrows an e-book or an audiobook or both.

[3]
Markscheme

4.1.1 Probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.1.1 Probability (A-level only)

111 exam-style questions on WJEC A Level Maths 4.1.1 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank