Question 1015572
well, you've got 6 people and for each of those 6 people you've got 9 weapons, and for each of those weapons, you've got 9 rooms.


total of all possibilities is 6 * 9 * 9 = 486.


since only one of those possibilities is the correct one, then the probability of guessing the correct one randomly is 1/486.


to see how this works, consider 2 people and 2 weapons and 2 rooms.


the total possibilities are 2*2*2 = 8.


if you let a = one person and b equal to the other person and x = one weapon and y be another weapon and 1 = the first room and 2 = the second room, then the total possibilities are:


ax1
ax2
ay1
ay2
bx1
bx2
by1
by2


out of those 8 possibilities, only one will be the correct one, so just guessins gets you a probability of success of 1/8.


it works the same way with 6 people and 9 weapons and 9 rooms, except there's too many to list, so you rely on the formula.