Grade 12 · Math

Find a binomial coin-toss probability

LET’S TRY ONE

A fair coin is tossed 4 times independently. What is the probability of exactly 1 heads? Give a fraction in simplest form.

There are 16 equally likely ordered outcomes. Choose the 1 head positions in 4 ways: probability = 1/4.

Your turn!
Learning steps & teaching tips

Combine independent equally likely trials with a count of favorable position sets.

  1. Choose the successful positions and multiply by each sequence’s probability.
  2. Work through the example and explain why each operation is used.
  3. Estimate or use another method to check the result before choosing.

Try it together

Work with a partner: solve one example, explain the method, then change one number and predict what changes.

Choose the successful positions and multiply by each sequence’s probability.