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Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of rock, paper, and scissors every round (making...

Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of rock, paper, and scissors every round (making independent selections each round). Each round can end in a win, loss, or a tie for each player.


What is the probability Ann wins the first round.? (Remember that a tie is a possibility.)Prob = 

What is the probability that Ann's first win happens in round #3?Prob = 

What is the probability that Ann's first win comes after round #3?Prob =

Top Answer

a)  = ​ 3 ​ ​ 1 ​ ​  b) ... View the full answer

6 comments
  • hey Momany for Part C the 2/9 is the probability that Ann wins in the second round correct?
    • sabitkaja
    • Oct 02, 2018 at 10:29am
  • Yes and 4/27 is the probability that Ann wins in the third round.
    • momanyifred999
    • Oct 02, 2018 at 10:31am
  • 0 to calculate 2/9 i would have to follow the same steps as finding the probability if she wins the first round.
    • sabitkaja
    • Oct 02, 2018 at 10:36am
  • 2/9 is the probability that Ann wins in the second round = P(she lost in the first round but won the second round) = 2/3*1/3=2/9
    • momanyifred999
    • Oct 02, 2018 at 10:40am
  • thanks for the Clarification Momany, for some reason i thought that she won the first and the second round=1/3*1/3=1/9
    • sabitkaja
    • Oct 02, 2018 at 10:50am
  • You are welcome.
    • momanyifred999
    • Oct 02, 2018 at 12:21pm

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 ​ 3 ​ ​ 1 ​ ​  ... View the full answer

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