In a game of tag played by Arda, Berk, and Can, the person who is "it" catches one of the others, and the person caught becomes the new "it". Then the game continues in a similar way for the new "it". The following information is given about the probabilities of these three people catching each other. - If Arda is "it", he catches Berk with 60\% probability and Can with 40\% probability. - If Berk is "it", he catches Arda with 80\% probability and Can with 20\% probability. - If Can is "it", he catches Arda with 40\% probability and Berk with 60\% probability. If Arda is the first "it" in this game, what is the probability that the 3rd "it" is Arda again, as a percentage? A) 50 B) 54 C) 58 D) 64 E) 70
In a game of tag played by Arda, Berk, and Can, the person who is "it" catches one of the others, and the person caught becomes the new "it". Then the game continues in a similar way for the new "it". The following information is given about the probabilities of these three people catching each other.
- If Arda is "it", he catches Berk with 60\% probability and Can with 40\% probability.
- If Berk is "it", he catches Arda with 80\% probability and Can with 20\% probability.
- If Can is "it", he catches Arda with 40\% probability and Berk with 60\% probability.
If Arda is the first "it" in this game, what is the probability that the 3rd "it" is Arda again, as a percentage?
A) 50
B) 54
C) 58
D) 64
E) 70