TimeSpaceLightForce 12 Report post Posted May 10, 2015 A 52% bias toss for head using the 51% tail bias coin was done for fair result .. How bias is the floor then? Quote Share this post Link to post Share on other sites
0 DeGe 9 Report post Posted May 12, 2015 The floor is not biased. By logic and also mathematically: Lets say the floor is biased and induces (on the final result) a factor of x for the biased side of the coin and a factor of y for the unbiased side Also, for the coin toss, H H and T T produce a result while H T and T H are discared and a retoss is done. Then, 0.52x + 0.49y = 0.5 (probability for heads on both coins) 0.51x + 0.48y = 0.5 (probability for tails on both coins) Subtracting both equations, x + y = 0 meaning that x = -y Therefore the floor induces no bias to one side or the other. Quote Share this post Link to post Share on other sites
0 Rainman 14 Report post Posted May 15, 2015 If the toss would generate a 52:48 distribution in favor of heads (assuming all other conditions were fair), then the toss bias factor for heads is 52/48. Similarly, if the coin would generate a 49:51 distribution in favor of tails, then the coin bias factor for heads is 49/51. The combined bias factor is (52*49)/(51*48) = 2548/2448, which would be negated by a 2448/2548 floor factor. The floor would generate a distribution of 2448/(2548+2448):2548/(2548+2448) in favor of tails, which is roughly 51.00080064% tails. Quote Share this post Link to post Share on other sites
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