Theorem 2.5 Multiplicative Laws of Probability The prob- ability of the intersection of two events A and B is P(A^ B) = P(A)P(B|A) = P(B)P(A|B) If A and B are independent, then P(An B) = P(A)P(B) Example There are 3 red balls and 4 blue balls in a box, two balls are taken with/without replacement. Find the probability that the first ball is red and the second ball is blue.

Theorem 2.5 Multiplicative Laws of Probability The prob- ability of the intersection of two events A and B is P(A^ B) = P(A)P(B|A) = P(B)P(A|B) If A and B are independent, then P(An B) = P(A)P(B) Example There are 3 red balls and 4 blue balls in a box, two balls are taken with/without replacement. Find the probability that the first ball is red and the second ball is blue.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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