Table:
text: Penney's game
Variation with playing cards
Variation with playing cards
_1st_players_choice _2nd_players_choice Probability_1st_player_wins Probability_2nd_player_wins Probability_of_a_draw
BB B R BB 0.11% 99.49% 0.40%
BB R R BB 2.62% 93.54% 3.84%
BR B B BR 11.61% 80.11% 8.28%
BR R B BR 5.18% 88.29% 6.53%
RB B R RB 5.18% 88.29% 6.53%
RB R R RB 11.61% 80.11% 8.28%
RR B B RR 2.62% 93.54% 3.84%

Question: In Penney's game, what is the probability that the first player will win if the probability of a tie is 8.28% and the second player chooses B BR?

Question: If the first player chooses RB B, what choice does the second player have under Penney's game?

Question: From the table of Penney's game, what is the probability that the second player will win if his choice is RB and the first player has a 5.18% chance of winning?

Question: What are the odds that the first player in Penney's game will win if the second player has an 80.11% chance of winning by choosing R RB?

Question: What are the odds that Player 2 will win if Player 1 chooses BBR in Penney's game?

Question: What is the chance that Player 1 wins when Player 2 has an 88.29% chance of winning by choosing R RB under Penney's game?