Question

If you toss 10 coins, what percent of the time will you get the three most likely macrostates (6 heads and 4 tails, 5 heads and 5 tails, 4 heads and 6 tails)?

Answer 1

65.6%

Explanation:

So we have 210 ways to make 6 heads and 4 tails, 252 ways to make 5 heads and 5 tails and 210 ways to make 4 heads and 6 tails; and that's 672 total microstates to make our desired condition here. So the probability is 672 divided by 1024 which is 65.6 percent.