In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose 12 random games of tic-tac-toe are played. What is the probability
That at least one of them will end in a draw?
A) 0.8040
B) 0.5000
C) 0.0531
D) 0.0001

Question

Quizplus · Accepted Answer

The probability that none of the 12 games end in a draw is (1-0.127)^12 = 0.196. Therefore, the probability that at least one game ends in a draw is 1-0.196 = 0.8040.

In the Game of Tic-Tac-Toe, If All Moves Are Performed