Question 1200587
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An n-byte message is being sent. For greater reliability, k independent information 
transmission {{{highlight(cross(channel))}}} <U>channels</U> {{{highlight(cross(is))}}} <U>are</U> used.
What is the probability that at least one channel {{{highlight(cross(receives))}}} <U>transmits</U> 
an undistorted message if the probability of a byte being {{{highlight(cross(scrambled))}}}
spoiled/(corrupted) on each channel is p? (p = 0.23, n = 9, k = 3).
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Wording is definitely curved and oblique in this post.



<pre>
The probability of the 9-bite message to be undistorted in all 9 bites by any one 
of k=3 independent information transmission channels is

    p = {{{(1-p)^n}}} = {{{(1-0.23)^9}}} = {{{0.77^9}}} = 0.09515 (rounded).


With k=3 independent information transmission channels the probability to transmit
at least one undistorted message is 

    P = {{{1 - (1-p)^3}}} = {{{1 - (1-0.09515)^3}}} = 0.25915  (rounded).    <U>ANSWER</U>
</pre>

Solved.