COIN TOSS PROBABILITY

This coin toss probability calculator finds the chance of getting exactly, at least, or at most a chosen number of heads.

It shows combinations, favourable outcomes, total outcomes, a simplified fraction and a percentage.

Choose the number of tosses, n. Pick exactly k heads, at least k heads, or at most k heads.

Choose k and press SOLVE. Read the working, fraction and rounded percentage.

probability = nCk ÷ 2^n

nCk counts the different arrangements of k heads in n tosses.

There are 2^6 = 64 total sequences. There are 6C3 = 20 favourable sequences.

20/64 = 5/16 = 31.25%

At least k heads adds all outcomes from k heads up to n heads.

nCk + nC(k+1) + ... + nCn

At most k heads adds all outcomes from 0 heads up to k heads.

nC0 + nC1 + ... + nCk

Students use it for probability, binomial basics and combinations homework.

Teachers and tutors use it to show how nCk counts arrangements of heads and tails.

Common searches include coin toss probability, probability of heads, exactly k heads calculator and coin flip odds.

The page also supports at least heads and at most heads probability searches.

The first page stays focused on the working calculator so it fits phones, tablets and laptops.

SEO notes and examples are split into short internal pages to avoid footer overlap.

Does it assume a fair coin? Yes, every heads/tails sequence is treated as equally likely.

Why limit to 12 tosses? The compact page keeps the menu safe and readable in the Teletext frame.