Rule of probability applied to Genetics problems

Independence Two events A and B are called independent if P(A, B)P(A), i. e., if conditioning on one does not effect the probability of the other. Since P(A, B)P(AB), P(B) by definition, P(A)P(AB), P(B) if A and B are independent, hence P(A)P(B)P(AB); this is sometimes given as the definition of independence. Rearranging this last equation as P(AB), P(A)P(B), we see that if P(A, B)P(A), then also P(B, A)P(B). Examples: If and then P(A) and A and B are independent. If and then which is not equal to. 6P(A), and A and B are not independent. Product rule for independent events If A and B are independent, P(AB)P(A)P(B) (because P(A, B)P(A) for independent events). (Example: If A and B are independent and P(A). 3 and then P(AB). 3 . 6 . 18. ) N. B. : If A and B are disjoint (which includes the case where A and B are complementary) P(AB)0 P(A, B)0P(B, A) , Genetics, DNA, ruleOfProbability, productRule, statictics