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Example Tom and his wife Jenny appear in an interview for two vacancies in the same post. The chance of Tom’s selection is 1/7 and that of Jenny’s selection is 1/5. What is the probability that (i) both of them will be selected (ii) only one of them will be selected

(iii) none of them will be selected.

Solution : P (Tom’s selection) = 1/7 P (wife Jenny’s selection) = 1/5

(i) P (both selected) 


Note that when we say only Tom is selected. Simultaneously we mean Jenny is rejected. Thus the two events become independent and hence multiplication rule is applied . Also Tom’s selection and Jenny’s selection in this case is a mutually exclusive. Hence finally addition rule is applied.

(iii) P (none of them will be selected) = 

[next page]

Index

7. 1 Introduction
7.2 Trial
7.3 Sample Space
7. 4 Definition of Probability
7. 5 The Laws of Probability
7. 6 Conditional Probability
7. 7 Theoretical Distribution
7. 8 Binomial Distribution
7. 9 Normal Distribution
Chapter 8





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