TOTAL PROBABILITY THEOREM

TOTAL PROBABILITY THEOREM

Let E1, E2, ..., En be n mutually exclusive and exhaustive events and event A is such that it can occur with any of the events E1, E2, E3, ....... En then the probability of the occurrence of event A can be

Example:

In a certain city only 2 newspapers A and B are published. It is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisement and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population who read an advertisement?

Solution :

In a certain city only 2 newspapers A and B are published. It is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisement and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population who read an advertisement?

TOTAL PROBABILITY THEOREM

Post By : Rahul Kumar 01 Nov, 2020 122 views Maths