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John's mother knows that her son dated girls many times, with a record of 35 times with Asians, 20 times with Blacks and 45 times with Caucasians, but with a rejection record of 15 times by each race. (1) Find the possibility that the son marry one of girls of the three races based on the dating records. (2) One day the mother was told by her son that one girl (of the three races) the first time agreed to marry with race information hidden. Find out the possibilities of the three races to which the girl belongs based on the dating records.

John's mother knows that her son dated girls many times, with a record of 35 times with Asians, 20 times with Blacks and 45 times with Caucasians, but with a rejection record of 15 times by each race. (1) Find the possibility that the son marry one of girls of the three races based on the dating records. (2) One day the mother was told by her son that one girl (of the three races) the first time agreed to marry with race information hidden. Find out the possibilities of the three races to which the girl belongs based on the dating records.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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John's mother knows that her son dated girls many times, with a record of 35 times with Asians, 20 times with Blacks and 45 times with Caucasians, but with a rejection record of 15 times by each race. (1) Find the possibility that the son marry one of girls of the three races based on the dating records. (2) One day the mother was told by her son that one girl (of the three races) the first time agreed to marry with race information hidden. Find out the possibilities of the three races to which the girl belongs based on the dating records.
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