An interesting flipping coin question

Sat, 26 Oct 2024 00:05:00 +0000

An interesting flipping coin question

Problem statement

You have a fair coin, which means a flip result could be tail(T) and head(H), and their probability is 50%.

You cast the coin until the coin until have a pattern “THTHT” or “THHHT”, which one is easier to get? And their probability?

First thought

Lots of people will think they are identical intuitivly because “T” and “H” both have same probability to get. Then their probability is $\frac{1}{2}^5$.

Computer_science Math on Xi's Blog

An interesting flipping coin question

An interesting flipping coin question

Problem statement

First thought