# Bayes theorem

Probability theory and statistics

### Bayes theorem

A binary signal can be a type A, B, C with probabilities $$\frac{1}{2}$$, $$\frac{1}{3}$$ and $$\frac{1}{6}$$. Signal A has approximately 20% $$1$$s in it, signal B 30% and signal C 40%. The signal is received that contains 10 symbols from which there are four $$1$$s (ex: received signal: $$0000001111$$). Determine the probabilities that the signal is type A, B and C.
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