STATS 2B03 Lecture 6: Lecture 6 - Jan 21
24 Jan 2016
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Rule p5: if a and b are independent then p(aandb) = p(a) x p(b) Example: suppose that each child has probability 1/5 of inheriting a certain disease. In a family of 2 children, the probability that both children inherit a disease is. Example: (continued) in a family of 4 children a) = 1/5 x 4/5 x 4/5 x 4/5 + 4/5 x 1/5 x 4/5 x 4/5 + . P(at least one of the children inherits the disease) Definition: the conditional probability of b given a p(b|a) is the probability that the event b occurs, given that event a has already occurred. Example: two women are selected from a group of 15 men and 30 women. Find the probability that both people are women. Example: (continued) if 4 people are selected, find the probability that a) = 15/45 x 30/44 x 29/43 x 28/42 + 30/45 x 15/44 x 29/43 x 28/42 + .
