The object of this concise paper is to find statistics for the number of errors in a block of

digits transmitted over the troposcatter channel. An approximate solution for FSK modulation is found based on bounding the Correlation between nonadjacent bits. As an application of the result, bit error probabilities were found after using the (23,12,3) Golay code. At high signal-to-noise ratio, there is an effective multiplication by 4 of the order of diversity as long as some decorrelation exists between adjacent bits.