How many different ways are there to get 10 heads in 20 throws of a true coin?

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asked Feb 17, 2024 41.7k views

1 Answer

Nishant Ingle · Answer 1 · 2024-02-22T11:41:29+0000

Each coin can either land on heads or on tails. 2 choices. This gives us a total of 2(20) possibilities for flipping 20 coins.

Now how many ways can we get 10 heads? This is 20 choose 10, or (20/10)

This means our probability is (20/10)2(20)=184756/1048576≈.1762

How many different ways are there to get 10 heads in 20 throws of a true coin?

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