Let A and B be events in an experiment and suppose that P(A) not equal to zero.In n trials the event A occurs m times,the event B occurs k times,the event A and B occur together l times. a)Explain  why it make good sense to call the ratio l/m the conditional relative fr

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Let A and B be events in an experiment and suppose that P(A) not equal to zero.In trials the event A occurs m times,the event B occurs times,the event A and B occur together times.

a)Explain  why it make good sense to call the ratio l/m the conditional relative frequency of the event B given the event A.

b)Show that the relative frequencies l/m ,m/n and l/n satisfy the equation 

   l/m=(l/n)/(m/n)

C)Explain why the  result of part b  suggest that the equation P(B/A)=P(A intersection B)/P(A) is plausible

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