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Question

A researcher would like to determine whether there is a relationship between a students interest in statistics and his or her ability in mathematics. A random sample of 200 students is selected and they are asked whether their ability in mathematics and interest in statistics is low, average or high. The results were as follows:
Ability in mathematics
Interest in statistics
LowAverageHigh
Low601515
Average154510
High51025
If a student is selected at random, what is the probability that he / she has high ability in mathematics and high interest in statistics

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Solution

Total number of students =80+70+50=200. i.e. n=200
Let E4 be the event has high ability in mathematics and high interest in statistics.
n(E4)=25 i.e. m4=25
P(E4)=m4n=25200=18

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