Probability Question

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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Given table shows the distribution of master's degree conferred by a university is listed in the table . 

Also here assume that a student majors in only one subject . That , all the events are mutually exclusive . 

Total Frequency = 229 + 203 + 86 + 176 + +222 = 916

Mutually exclusive events are those which cannot be happen at the same time . If A and B are two events then , 

P (A  and B) = 0 

Probability is the ratio of favorable outcome to the total number of outcomes . 

Let, Event A denotes randomly selected students with master's degree majored in Mathematics . 

Therefore , Probability = selected number of students majored in mathematics / total number of students 

                                    = 229 / 916 = 0.25 

Similarly Event B denotes randomly selected students with master's degree majored in English . 

Therefore , Probability = selected number of students majored in english / total number of students 

                                    = 203 / 916 = 0.221615721 

 

 

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