Annoying Morse Code

Morse Code is method of transmitting messages that uses a series of "dots" and "dashes" which are known to occur in the proportion 3:4 or 3 "dots" is to 4 "dashes". Sometimes, there errors when coded messages are sent. That is, a "dot" can be mistakenly received as a "dash" or a "dash" can be mistakenly received as a "dot". Suppose the probability of this transmission error is 1/8, what is the probability that when a "dot" is received, it was actually sent as a dot?

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