Ask Question
22 September, 19:16

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

+3
Answers (1)
  1. 22 September, 21:15
    0
    Completed question:

    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 six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

    Answer:

    0.557

    Step-by-step explanation:

    For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

    0.873x0.873x0.873x ... x0.873 = 0.873⁶ = 0.443

    Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

    1 - 0.443

    0.557
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is. Suppose six random ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers