Parliament contains a proportion p of Labour Party members, incapable of changing their opinions about anything, and 1- p of Tory Party members changing their minds at random, with probability r, between subsequent votes on the same issue. A randomly chosen parliamentarian is noticed to have voted twice in succession in the same way. Find the probability that he or she will vote in the same way next time.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Parliament contains a proportion p of Labour Party members, incapable
of changing their opinions about anything, and 1 – p of Tory Party members changing
their minds at random, with probability r, between subsequent votes on the same issue.
A randomly chosen parliamentarian is noticed to have voted twice in succession in the
same way. Find the probability that he or she will vote in the same way next time.
Transcribed Image Text:Parliament contains a proportion p of Labour Party members, incapable of changing their opinions about anything, and 1 – p of Tory Party members changing their minds at random, with probability r, between subsequent votes on the same issue. A randomly chosen parliamentarian is noticed to have voted twice in succession in the same way. Find the probability that he or she will vote in the same way next time.
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