The definition of probability of an event is explored here as a part of the axiomatic approach to probability. We also take a look at probability of equally likely events occurring.

1. Maths topic for
Probability:
probability of
an event
By Dhruv Sethi;
dhrsethi1@gmail.com/+91 9310805977
11th Grade

2. Probability of an Event
Let a sample space of an experiment be
S = {w1, w2, w3, …, wn}
Let all the outcomes be equally likely to occur i.e. the chance of
occurrence of each simple event must be the same.
Σ P(wi) = p for all wi ∈ S where 0 ≤ P(wi) ≤ 1
since Σ P(wi) = p + p +…(n times) … + p = 1
np = 1 i.e. p = 1/n

3. Probability of an Event
Also, let S be a sample space and E be an event, such that
n(S) = n and n(E)=m. If each outcome is equally likely, then
it follows that
P(E) = m/n = (Number of outcomes favourable to E)/(Total possible
outcomes)

4. Probability of an Event
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