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GATE CS 2021 Set 1 — Question 64

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NAT+2 / -0MediumConditional ProbabilityProbability & StatisticsEngineering MathematicsBayes' Theorem

Engineering Mathematics → Probability & Statistics → Bayes' Theorem

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Question

A sender (S) transmits a signal, which can be one of the two kinds: HH and LL with probabilities 0.1 and 0.9 respectively, to a receiver (R).
In the graph below, the weight of edge (u,v)(u, v) is the probability of receiving vv when uu is transmitted, where u,v∈{H,L}u, v \in \{H, L\}. For example, the probability that the received signal is LL given the transmitted signal was HH, is 0.7.
Probabilistic transition graph showing Sender S (H, L) and Receiver R (H, L) with edge weights
If the received signal is HH, the probability that the transmitted signal was HH (rounded to 2 decimal places) is ___________.
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