A ternary string is a string consisting of 0s, 1s, and 2s. Suppose we are transmitting ternary strin

A ternary string is a string consisting of 0s, 1s, and 2s. Suppose we are transmitting ternary strings through a noisy communication channel with the following known probabilities:• 0 is sent with probability 0.3• 1 is sent with probability 0.4• 2 is sent with probability 0.3• Due to noise, 0 is changed to 1 during transmission with probability 0.2• Due to noise, 0 is changed to 2 during transmission with probability 0.1• Due to noise, 1 is changed to 0 during transmission with probability 0.2• Due to noise, 1 is changed to 2 during transmission with probability 0.1• Due to noise, 2 is changed to 0 during transmission with probability 0.2• Due to noise, 2 is changed to 1 during transmission with probability 0.1Suppose that a 1 is received. What is the probability that a 1 was sent?

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