Grade 12 · Math

Find a binomial coin-toss probability practice

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

Opening your practice adventure…

Try a sample

A fair coin is tossed 8 times independently. What is the probability of exactly 3 heads? Give a fraction in simplest form.

See the answer & why

There are 256 equally likely ordered outcomes. Choose the 3 head positions in 56 ways: probability = 7/32.

A little hint: Count ways to choose the head positions, then divide by all equally likely toss sequences.

A teaching tip

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

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