GCSE · Combined events & tree diagrams

Tree diagrams & independent eventsExam-style questions

Building a tree from a worded scenario, and why you multiply along a branch and add between branches — plus the branches-sum-to-1 check and the "at least one" complement that turns seven calculations into one.

Start practising Read the lesson

16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
A bag has $3$ red and $2$ blue counters. A counter is taken, its colour noted, and it is put back. A second counter is taken. Write down the probability that the second counter is blue.
Level 1 · 1 markTry it
2
The probability that Ana is late on any day is $0.2$ , independently of other days. Work out the probability that she is late on both Monday and Tuesday.
Level 1 · 1 markTry it
3
A fair coin is flipped twice. Use a tree diagram or a list to find the probability of getting a head then a tail.
Level 1 · 2 marksTry it