Question 1137297
There are 11 possible total correct answers, 0-10.  Since each answer has exactly a 50/50 chance of being correct, the midpoint, '5', will have the highest probability of being the total number of correct answers.  The probability graph (or table) will be a bell curve.  The probability of '5' is the highest, '4' and '6' are the next highest, then '3' and '7', etc., all the way down to '0' and '10'.
<pr>
P(10 correct) = {{{0.5^10}}} = 0.00098
P(9 correct) = {{{(0.5)^9 * (0.5)^1 * (10!/(9!*1!))}}} = 0.00977
P(8 correct) = {{{(0.5)^8 * (0.5)^2 * (10!/(8!*2!))}}} = 0.04395
P(7 correct) = {{{(0.5)^7 * (0.5)^3 * (10!/(7!*3!))}}} = 0.11719
P(6 correct) = {{{(0.5)^6 * (0.5)^4 * (10!/(6!*4!))}}} = 0.20508
P(5 correct) = {{{(0.5)^5 * (0.5)^5 * (10!/(5!*5!))}}} = 0.24609
P(4 correct) = {{{(0.5)^4 * (0.5)^6 * (10!/(4!*6!))}}} = 0.20508
P(3 correct) = {{{(0.5)^3 * (0.5)^7 * (10!/(3!*7!))}}} = 0.11719
P(2 correct) = {{{(0.5)^2 * (0.5)^8 * (10!/(2!*8!))}}} = 0.04395
P(1 correct) = {{{(0.5)^1 * (0.5)^9 * (10!/(1!*9!))}}} = 0.00977
P(0 correct) = {{{0.5^10}}} = 0.00098
<pr>