Young Geniuses · Ages 13 to 14
Conditional Probability Word Problems
Solve conditional probability problems in context. A Grade 8–9 statistics worksheet with answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Conditional Probability Word Problems
Conditional Probability Word Problems develops upper-secondary reasoning about probability when events depend on one another. Each problem describes a situation such as drawing counters from a bag without replacement, and asks the student to find the probability of a combined outcome, working out how the first event changes the second. Conditional probability and dependent events are a core Grade 8 to 9 statistics expectation across the US, UK, Canada and Australia, and they underpin tree diagrams, risk and a great deal of real-world decision making. The without-replacement context is the clearest way to meet dependence: once a counter is removed, both the favourable count and the total change, so the second probability is genuinely conditional on the first. Working these problems builds the habit of tracking how the sample space shrinks, and answers are given as fully simplified fractions so students also practise simplifying. Generous working space supports clear, structured solutions. The five levels vary the numbers of counters so the worksheet stays fresh and reusable. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own complete answer key. There is no advertising and no sign-up.
Common questions
- What is conditional probability?
- The probability of an event given that another has happened, as in drawing without replacement.
- What grade is this for?
- Grade 8 to Grade 9 learners aged 13 to 14.
- Is an answer key included?
- Yes, every level has its own complete answer key.
A hand for grown-ups
- Before you start
- Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
- While they work
- Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
- Afterwards
- Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
- Watch out for
- Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
- Away from the screen
- Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.
Where to go next
Chosen by the skills this activity practises.