As
we now move towards the mathematical aspects of the chapter, one underlying
factor that recurs in every question of probability is that whenever one is asked
the question, what is the probability? The immediate question that
arises/should arise in one’s mind is the probability of what?
The
answer to this question is the probability of the EVENT.
The
EVENT is the most important point of probability, or we can say that it is the
bottom line . Hence, the first objective while trying to solve any question in
probability is to define the event.
In
general, the student can either define the event narrowly or broadly. Narrow
definitions of event are the building blocks of any probability.
The
difference between the narrow and
broad definition of event can be explained through an example:
Example: What is the probability
of getting a number greater than 4, in a throw of a normal unbiased dice having
6 faces?
The
broad definition of the event here is getting a number greater that 4 and this
probability is given by 2/6 or 1/3.However, this event can also be broken down
into its more basic definition as
The event is defined as
getting 5 or 6. The individual probabilities of each of these are 1/6 and 1/6 respectively.
Hence, the required probability is 1/6+1/6
=2/6=1/3
No comments:
Post a Comment