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Note : The two events R and W are ‘disjoint’ events.

Example What is the chance that a leap year selected at random will contain 53 Sundays ?

Solution : A leap year has 52 weeks and 2 more days.

The two days can be :
Monday - Tuesday
Tuesday - Wednesday
Wednesday - Thursday
Thursday - Friday
Friday - Saturday
Saturday - Sunday and
Sunday - Monday.

There are 7 outcomes and 2 are favorable to the 53rd Sunday.

Now for 53 Sundays in a leap year, P(A)

 



Example If four ladies and six gentlemen sit for a photograph in a row at random, what is the probability that no two ladies will sit together ?

Solution : Now if no two ladies are to be together, the ladies have 7 positions, 2 at ends and 5 between the gentlemen
Arrangement L, G1, L, G2, L, G3, L, G4, L, G5, L, G6, L

 

[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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