A sender \( S \) transmits a signal which can be one of two kinds: \( H \) and \( L \) with probabilities 0.1 and 0.9 respectively, to a receiver \( R \). The weight of edge \( (u,v) \) is the probability of receiving \( v \) when \( u \) is transmitted. If the received signal is \( H \), the probability that the transmitted signal was \( H \) (rounded to 2 decimal places) is \(\underline{\hspace{2cm}}\).
