Two parents who are each known to be carriers of an autosomal recessive allele have five children. None of the children has the recessive condition. What is the probability that one or more of the children is a carrier of the recessive allele? n (number of events) Binomial coefficients 0 1 1 1 2 1 2 1 3 3 3 1 4 6 5 1 5 10 10 5 1 6 1 6 15 20 15 6 1 7 1 7 21 35 35 21 7 1 8 1 8 28 56 70 56 28 8 1 9 1 84 126 126 84 36 9 1 10 1 10 45 120 210 252 210 120 45 10 1 11 1 11 165 330 462 462 330 165 55 11 12 1 12 66 220 495 792 924 792 495 220 12 Total number of combinations 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 36 55 1 66 1 99.86% 13.17% 99.59% 99.98% 86.83