Imagine that you flip a fair coin 20 times. This will create a sequence of heads and tails, and there are lots of possible sequences (just over one million equally likely microstates). Now, imagine looking for strings of consecutive H's or consecutive T's within each sequence of 20 flips. For instance, one sequence (one microstate) is THHTTTTHTHHHTTHHTTHT, which contains one string of four consecutive T's, one string of 3 consecutive H's, and many strings of two consecutive H's and T's.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Imagine that you flip a fair coin 20 times. This will create a sequence of heads and tails, and there are
lots of possible sequences (just over one million equally likely microstates).
Now, imagine looking for strings of consecutive H's or consecutive T's within each sequence of 20 flips.
For instance, one sequence (one microstate) is THHTTTTHTHHHTTHHTTHT, which contains one
string of four consecutive T's, one string of 3 consecutive H's, and many strings of two consecutive H's
and T's.
Transcribed Image Text:Imagine that you flip a fair coin 20 times. This will create a sequence of heads and tails, and there are lots of possible sequences (just over one million equally likely microstates). Now, imagine looking for strings of consecutive H's or consecutive T's within each sequence of 20 flips. For instance, one sequence (one microstate) is THHTTTTHTHHHTTHHTTHT, which contains one string of four consecutive T's, one string of 3 consecutive H's, and many strings of two consecutive H's and T's.
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