BIOL 2030 Lecture Notes - Lecture 5: Binomial Distribution, Mutual Exclusivity, Binomial Coefficient

39 views4 pages

Document Summary

Lecture 5 - binomial probability & binomial expansion. Probabilities and laws of chances are involved in the transmission of genes. Probability - number of times a particular event expected to occur. Product rule - probability of two or more independent events occuring otgether: p(a and b) = p(a) * p(b) Sum rule - probability of two or more mutually exclusive events occuring: p(a or b) = p(a) + p(b) Do problems 1 to 3 on study guide and then check the answers (end of appendix f) 4 boys and 1 girl - girl could be eldest, could be 2nd eldest, 3rd eldest, 4th eldest, could be the youngest, thus, 5 different ways. Useful when you want to calculate the probability of a particular combination in a fixed sample size. Probability having 3boys and 2girls in a family of 5: 10 * b^3g^2 = 10*(1/2)^5, probability 3b and 2g in a family of 5 in the order bbgbg.