Question

Part A: Consider rolling two standard six-sided dice. How many possible ways (microstates) are there to make the sum of the two dice add to seven (macro state)? а. 6 b. 3 с. 1 d. 7 flip a coin. What are the chances that every Part B: Twenty people each simultaneously coin will come up heads? a. 9.5 x 10A-7 % b. 1.9 х 10^-4 % c. 9.5 x 10^-5 % d. 50 Part C: Twenty people each simultaneously flip a coin. If they flip coins once per minute, how long will it take (on average) for all of the coins to come up heads? а. 1 year b. 7.3 days c. 2 years d. 2 minutes

Answer 1

solution: (A) Sum=7 = {(1,6), (6), (2,5), (5,2), (3, 4) (9,3)} Hence Total ways = [6] (B) Plall coins head) {p (Head) = o.s) = 10. 5x (0.5) .... 20 times (0.520 9.5x107 6 lumbe + 9.5x10.% ) (1) expected number of toom befor all had ab 1048576 Total days = 1048576 - 7 28 days F 2 year] 9.58 107 60 x 24