Psychology 2810 Lecture Notes - Lecture 4: Venn Diagram, Conditional Probability, Eocene
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P(a b)=p(a)*p(b)---- if this is true, then a and b are independent. If this is not true, then they are dependent. If one happens, then the probability of the other goes up or down if they"re dependent. Conditional probability- p(a | b) or p(b | a). The probability of one given the other happens. In terms of venn diagram, the probability of a given b is equal to their intersection divided by all of b. In the case of dependence we can use p(a b) = p(a)*p(b | a) = p(b) * p(a | b: p(a | b) = p(a b)/p(b, p(b | a) = p(a b)/p(a, you can also use for independent probabilities, too. Eg. probability that you"ll have time to study for the exam is 0. 6. The probability that you"ll pass if you study p(p | s) =0. 8. Probability that you will pass if you don"t What is the probability that that student studied.