Do I need an account to practise Independent events with replacement?

No. You can start practising Independent events with replacement straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Tree diagrams and combined events

Independent events with replacement

33 self-marking GCSE and IGCSE practice questions on Independent events with replacement, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.

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Sample Independent events with replacement questions

A few of the 33 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 3-4
A tin contains 2 orange sweets and 4 purple sweets (6 sweets in total). Ryan takes a sweet at random, notes its colour, and puts it back in the tin. Ryan then takes a second sweet at random. Work out the probability that both sweets are orange. Give your answer as a fraction.
Show the worked solution
Because the sweet is replaced, P(orange) = 2/6 = 1/3 on both picks. M1
P(both orange) = $\dfrac{2}{6} \times \dfrac{2}{6} = 1/9$

What are the common mistakes in Independent events with replacement?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Uses addition where the correct operation was multiplication
Added the two branch probabilities (1/4 + 1/4) instead of multiplying them.
Uses the probability from a single branch instead of combining all relevant branches of a tree diagram
Gave the probability for one pick only (1/4), instead of multiplying both picks together.
Adds two individual probabilities directly instead of using the complement rule (1 minus P(neither)) to find the probability that at least one event occurs
Adds the two individual probabilities (0.3+0.4=0.7) instead of correctly using the complement rule: P(at least one red) = 1 − P(neither red).

Quick answers about Independent events with replacement

How many Independent events with replacement practice questions are there?: There are 33 self-marking GCSE and IGCSE Maths questions on Independent events with replacement, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Independent events with replacement?: No. You can start practising Independent events with replacement straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.