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(II) Suppose that you repeatedly shake six coins in your
Chapter 22, Problem 47P(choose chapter or problem)
Problem 47P
(II) Suppose that you repeatedly shake six coins in your hand and drop them on the floor. Construct a table showing the number of microstates that correspond to each macrostate. What is the probability of obtaining (a) three heads and three tails, and (b) six heads?
Questions & Answers
QUESTION:
Problem 47P
(II) Suppose that you repeatedly shake six coins in your hand and drop them on the floor. Construct a table showing the number of microstates that correspond to each macrostate. What is the probability of obtaining (a) three heads and three tails, and (b) six heads?
ANSWER:
Solution 47P
The number of heads and number of tails that appear in a given throw is defined as the microstate of the system. In our case we have 6 coins. So the number of microstates = 2^6 = 64.
Let us take the example of 1 head and 5 tails. There will be 6 possible microstates one for anyone of the six coins being a head.
Step 1 of 3
The number of microstates corresponding to each macro state of the 6 coins is shown in the below table.
