# Probability rules..

A signal which can be green or red with probability $$\frac{4}{5}$$ and $$\frac{1}{5}$$ respectively, is received by station $$A$$ and then transmitted to station $$B$$, The probability of each station receiving the signal correctly is $$\frac{3}{4}$$.If the signal received at station $$B$$ is green, then the probability that the original signal was green is $$k$$.

Find $$\displaystyle{46k~ \text{mod}~ 37}$$

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