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Formula2

# Formula2 - P(A and B = P(A P(B provided A and B are...

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P(A and B) = P(A) · P(B) provided A and B are This means that events A and B don’t affect independent each other This also applies to more than two events P(A and B and C) = P(A) · P(B) · P(C) provided these three events are independent P(A or B) = P(A) + P(B) provided A and B are This means that events A and B cannot both occur mutually exclusive This also applies to more than two events P(A or B or C) = P(A) + P(B) + P(C) provided these three events are mutually exclusive This example is in the textbook A certain community has a morning paper and an evening paper The three pieces of information: • 20% of the people take the morning paper P(M) = .2 • 30% of the people take the evening paper P( E) = .3 • 10% of the people take both P(M and E) = .1

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P(M or E) is 40/100 = .4 So, 40% of the people take one paper or the other This is a conditional probability: P(E|M) is 10/20 = .5 So, 50% of the morning subscribers take the evening paper probability mass function: P(X = x) is 9 | 4 | 3 x
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