Tree diagrams & combined events
Edexcel GCSE Maths revision on Tree diagrams & combined events. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Two fair coins. P(at least one H)?
- A) 3/4
- B) 1/4
- C) 1/2
- D) 1
Show answer
Answer: 3/4
Outcomes: HH, HT, TH, TT. At least one H = HH, HT, TH = 3 of 4. P = 3/4.
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Question 2
Roll two dice. P(both sixes)?
- A) 1/12
- B) 1/36
- C) 1/6
- D) 2/12
Show answer
Answer: 1/36
Independent events: multiply probabilities. P(6 on die 1) x P(6 on die 2) = 1/6 x 1/6 = 1/36.
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Question 3
Bag with 4 red and 6 green balls. Pick TWO without replacement. P(both red)?
- A) 6/45
- B) 16/100
- C) 2/15
- D) 1/9
Show answer
Answer: 2/15
First pick: 4/10 (or 2/5). After taking one red, 3 reds left out of 9: 3/9. Product: (4/10)(3/9) = 12/90 = 2/15.
Want to test yourself on the remaining cards for this topic?
13 more questions on Tree diagrams & combined events — plus mistakes tracking and spaced repetition across the whole Maths spec.