ELI5 how I don’t get 50 heads and 50 tails when flipping 100 coins

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What’s the mathematical law around this?

In: Mathematics

7 Answers

Anonymous 0 Comments

Flipping a coin you have two sides. Therefore you have a 50% chance of getting either side on each flip.

Each time you flip the coin you still have two options. Each coin flip is independent of previous and future coin flips. Therefore the probability of a single event has no impact on the results of multiple events.

As a comparison say you have 5 red marbles and 5 blue marbles in a bag. Reach in the bag and pull out a marble you have a 50% chance of getting a red or blue marble.

Say its a red marble.
Now reach in and pull out a marble. Since 1 red marble has been removed you now have a 4/9 chance of getting a red marble and a 5/9 chance of getting a blue marble. These are dependent events because the results of one event impacts the probability of future events.

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