Laplace's rule of succession

A coin of unknown bias (with a uniform prior on the heads-probability pp) is flipped 4 times and lands heads every time. What is the probability the next flip is also heads? Give your answer as a decimal (to 2 decimals).

Show hints (2)+
  1. Integrate pp against its posterior (a Beta distribution) given all-heads.
  2. The rule of succession gives s+1n+2\frac{s+1}{n+2}.

Answer

Reveal answer →

0.83 (± 0.01)

Create a free account to see the full worked solution and track your progress.

Interview format: Market Maker, Systematic & Data-Driven Trading

Related questions