Final answer:
The change in entropy when tossing 100 coins and moving from a state of 60 heads and 40 tails to 50 heads and 50 tails represents an increase in entropy due to the transition from a less probable (more ordered) state to a more probable (more disordered) state.
Step-by-step explanation:
Change in Entropy from Tossing Coins
When you toss 100 coins starting with 60 heads and 40 tails, and you end up with the most probable outcome of 50 heads and 50 tails, you are observing an increase in entropy in the system. Entropy is a measure of disorder or randomness in a system. The initial state of 60 heads and 40 tails has lower entropy because it is more ordered (less random) compared to the final state of 50 heads and 50 tails, which is more disordered (more random).
To calculate the change in entropy, you would need to use the formula for entropy, which is S = k log W, where S is the entropy, k is Boltzmann's constant, and W is the number of microstates. Since the question does not provide the necessary probabilities or the value of Boltzmann's constant, we cannot calculate the exact change in entropy. However, we understand that moving from a less probable state to a more probable state (from 60 heads and 40 tails to 50 heads and 50 tails) results in an increase in entropy.