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Help at home · Maths

How to explain probability to your child

Use words like 'certain', 'likely' and 'impossible', or give a probability as a fraction, e.g. the chance of picking a blue counter from a bag.

The note

How schools teach it now

Probability isn't in the primary curriculum (it starts at secondary school), but many 11+ papers include it. Children place events on a scale from 0 (impossible) to 1 (certain) and write a probability as a fraction: ways it can happen over all possible outcomes.

5-minute kitchen-table activity

Put 3 red, 2 blue and 5 green sweets in a bag. 'What's the chance of picking blue?' (2/10 = 1/5.) Pick one, put it back and repeat 20 times. How close did you get?

Worked example

A bag has 3 red, 5 blue and 4 yellow counters. What is the probability of picking a blue counter?

  1. Count all the counters: 3 + 5 + 4 = 12.
  2. There are 5 blue counters.
  3. Probability = blue counters over all counters.

Answer: 5/12

Common mistakes to watch for

  • Writing a probability as a ratio (5:7) instead of a fraction (5/12).
  • Forgetting to count every possible outcome.
  • Thinking a coin is 'due' a head after several tails.

Encouragement

Try saying
“How many ways can it happen, out of how many?”
Rather than
“It's all just luck.”

Practise probability with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.