# Flip a Coin 1000 Times

Times:

### Results

0
Tails
0
0%
Tails %
0%
Total Tosses
0

We flip a coin 1000 times and count the number of heads.

The mean is 500 which is 50 * 100 = 5,000 flips. But what does this actually mean? We need some background information to answer that question.

## Theoretical Perspective #1

If we have a fair coin then half the time it will be heads and half tails. If we flip this coin 1000 times then on average we would expect 500 heads (500 flips out of 1,000).

This is often called the theoretical perspective because it assumes the coin is "fair". It also uses a lot of maths and doesn't really explain why we might get 500 heads.

Experimental Perspective: If we flip a fair coin 1000 times and count the number of heads (H) out of 1,000 flips (N=1000). Then

the expected number of heads is 500.

This is often called the experimental perspective because it uses fewer maths and doesn't really explain why we might get 500 heads.

## Theoretical Perspective #2

If we flip a fair coin 1000 times then on average for every 50 heads there should be 250 tails (50 heads * 2 sides). But again, this doesn't say what will actually happen. It basically says that if you flip a coin enough times then half the time you should see more heads than tails but it doesn't say how many flips before this happens or why - theoretically, you would expect to see more heads than tails after half the flips because there are two sides and one has to come up more often, but in practice, it may not ever happen.