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Coin Toss

One flip for a quick decision, or many to watch the split settle near half.

Rename the faces to the two options you are choosing between.

Result —
Number of tosses
—
Expected heads
—
Chance all are heads
—

A fair coin toss lands heads or tails with a 50% chance each, and every toss is independent of the last. Flip once to settle a choice, or flip many times: ten tosses all landing heads has a probability of (1/2)^10, which is 1 in 1,024 or about 0.0977%.

About this tool

A coin toss is the oldest way to make a fair two-way choice: who kicks off, who picks first, which of two options wins a tie. This page flips a virtual fair coin using your browser's random number source. Set the number of flips to one for a single decision, or raise it to watch how heads and tails counts behave over a long run. The result line gives the heads and tails totals and the longest run of the same face; beside it sit the expected number of heads and the probability that every flip comes up heads. A table lists each flip in order. One limit: the table shows the first 100 flips, though the counts cover all of them.

How to use it

  1. Set the number of flips

    Use the minus and plus buttons or type a count from 1 to 1,000.

  2. Name the two sides

    Keep Heads and Tails, or type the two options you are deciding between, such as Pizza and Tacos.

  3. Read the result

    One flip shows Heads or Tails; more flips show both totals and the longest streak in one line, with the expected heads and odds beneath.

  4. Check the sequence

    The table lists each flip in order so you can see runs of the same face.

Examples

Ten tosses in a row

Number of flips
10

Result Result: Heads 3, Tails 7, longest streak 3
Number of tosses: 10
Expected heads: 5
Chance all are heads: 0.0977%

  1. Each flip: P(Heads) = P(Tails) = 1/2
  2. Expected Heads = 10 × 0.5 = 5
  3. Chance every flip is Heads = 0.5^10 = 0.097656%

Ten heads in a row has a 1 in 1,024 chance, about 0.0977%, so a streak of four or five within ten tosses is far more typical.

One toss to settle a choice

Number of flips
1

Result Result: Tails
Number of tosses: 1
Expected heads: 0.5
Chance all are heads: 50%

  1. Each flip: P(Heads) = P(Tails) = 1/2
  2. Expected Heads = 1 × 0.5 = 0.5
  3. Chance every flip is Heads = 0.5^1 = 50%

A single toss gives heads or tails with even odds of 50% each.

200 tosses

Number of flips
200

Result Result: Heads 89, Tails 111, longest streak 7
Number of tosses: 200
Expected heads: 100
Chance all are heads: 0%

  1. Each flip: P(Heads) = P(Tails) = 1/2
  2. Expected Heads = 200 × 0.5 = 100
  3. Chance every flip is Heads = 0.5^200 = 0%

Over 200 tosses the heads share usually lands within a few points of 50%, and the counts include every toss even though the table lists the first 100.

How it is calculated

P(all heads) = 0.5^n; expected heads = n × 0.5

n
number of flips
0.5
probability of heads on one fair flip

Each flip draws a random number between 0 and 1; below 0.5 is heads, otherwise tails. Flips are independent, so the count of heads follows a binomial distribution with mean n × 0.5. The chance that all n flips are heads is one half multiplied by itself n times. The longest streak is the longest unbroken run of either face in this particular sequence.

When not to use it

  • Choosing among three or more options needs a dice roll or random picker instead of a coin.
  • Draws with legal or prize consequences usually require an audited, witnessed process.

Common mistakes

  • Believing tails is due after a run of heads; the next flip is still 50/50.
  • Reading a 60/40 split over ten flips as a biased coin, when small samples swing widely.

Frequently asked questions

Is a virtual coin flip really 50/50?

Yes. Each flip compares a uniform random number with 0.5, so heads and tails each have a one-in-two chance. Over a few flips the split can look lopsided, but over thousands it settles close to half.

After five heads in a row, is tails more likely?

No. That belief is the gambler's fallacy. The coin has no memory, so the sixth flip is heads or tails with 50% each. A run of five heads has a 1 in 32 chance before it starts, but once it has happened it says nothing about the next toss.

How long a streak should I expect?

Longer than most people guess. In 100 fair flips the longest run of one face is typically around six or seven. Seeing five or six identical results in a row is normal, not a sign of a fault.

Can a real coin land on its edge?

Very rarely. Estimates for a US nickel are around 1 in 6,000 tosses. This virtual coin only has two outcomes, heads or tails.

Are physical coin tosses perfectly fair?

Close but not exactly. Research by Diaconis and colleagues suggests a tossed coin lands on the side it started on slightly more often, around 51%. A virtual flip avoids that small bias.

Why does the table stop at 100 flips?

Listing up to 1,000 rows would bury the totals. The table shows the first 100 flips in order, while the heads and tails totals and the longest streak in the result line are counted over every flip you asked for.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 10). Coin Toss. Tools Directory. Retrieved October 28, 2026, from https://tools.milunir.com/fun-random/random-picks-and-ideas/coin-toss/

MLA

Tools Directory Editorial Team. “Coin Toss.” Tools Directory, 10 Oct. 2026, https://tools.milunir.com/fun-random/random-picks-and-ideas/coin-toss/. Accessed 28 Oct. 2026.

Chicago

Tools Directory Editorial Team. “Coin Toss.” Tools Directory. Last modified October 10, 2026. Accessed October 28, 2026. https://tools.milunir.com/fun-random/random-picks-and-ideas/coin-toss/.

Link<a href="https://tools.milunir.com/fun-random/random-picks-and-ideas/coin-toss/">Coin Toss – Tools Directory</a>