MAT 121 Lecture 7: Multiplication Rule, Multiplication Property, and Fundamental Rule
9 Oct 2014
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Mat 121: elementary statistics and probability- lecture 7: multiplication rule, Multiplication rule: if a and b are two events then, p(a&b)= p(a)* p(b/a, p(b/a)= p(a&b) / p(a) Find p(red/blue), that is- selecting a red first, then a blue marble. A quick quiz consist of a multiple-choice questions with 6 possible answers followed by another one with 5 answers possible. They are independent because the correctness of the first response does not affect the correctness of the second response. P(first correct) * p(second correct)= (1/6) * (1/5) = 1/30. Multiplication property: the probability of several independent events is the product of their probability. 10 pregnant women are wishing to have baby girls. P(a1& a2& a3& a4& a5& a6& a7& a8& a9& a10)= = p(a1) * p(a2) * p(a3) * p(a4) * p(a5) * p(a6) * p(a7) * p(a8) * p(a9) * p(a10) There are 4 ways to choose first digit. There are 4 ways to choose the second digit.
