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The message of numbers consists of zeros (0) and ones (1). The amount of 40 percents of the numbers are zeros (0) and the amount

The message of numbers consists of zeros (0) and ones (1). The amount of 40 percents of the numbers are zeros (0) and the amount of 60 percent of the numbers are ones (1). The information connection is quite poor so that the sent number 0 is changed into a number 1 with the probability 1/4 and the sent number 1 is changed into a number 0 with the probability 1/3.

What is the probability that the number 0 was sent if we have received number 0?

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