RAI SAHEB BHANWAR SINGH COLLEGE NASRULLAGANJ

1. RAI SAHEB BHANWAR SINGH COLLEGE
NURSULLAGANJ
Session - 2017-2018
Class - BSc.CS 1Year
Presentation on
Probability
SUBMITTED TO
Mr. Gyanrao Dhote
SUBMITTED BY
Priyanshi Maheshwari

2. WHAT IS PROBABILITY
● Probability is the measure of the likeliness that an
event will occur . Probability is quantified as a number
between 0 and 1 (Where o indicates impossibility and 1
indicates certainty).
● It is widely used in the study of mathematics, statics,
gambling, physical sciences, biological sciences,
weather forecasting, finance etc to draw conclusion.
Insurance companies uses this to decide on financial
policies.

3. HOW DO WE DESCRIBE PROBABILITY ?
● Certain (the events is definitely going to
hoppen)
● Likely (the event will probably not happen,by
not definitely).
● Unlikely (the event will probably not
happen,but it might).
● Impossible (the event is definitely not going to
happen).

4. APPLICATION OF PROBABILITY
● Probability theory is applied in day to day life in
risk assessment and in trade in financial markets.
● Another Significant application of probability
theory in every day life is reliability. Many
consumer electronics use reliability theory in
product design to reduce the probability of failure.

5. PROBABILITY FUNCTIONS
● Probability function p (x), gives the probability
that a discrete random variable will take on a
value x.
Example: p (x)=x/15 for X={1,2,3,4,5}→ p (3)=20%.
● Probability density function (PDF) f (x), gives
the probability of a continuous random variable.
● Cumulative distribution function (CDF) F (x),
fives the probability that a random.

6. THREE TYPES OF PROBABILITY
1. Theoretical.
2. Relative frequency interpretation
of probability.
3. Personal subjective probability.

7. 1. Theoretical
For theoretical reasons, we assume that all n
possible outcomes of a particular
experiment are equally likely, and we assign
a probability of to each possible outcomes.
Example:The theoretical probability of
rolling a 3 on a regular 6 sides lie is 1/6.

8. 2. RELATIVE FREQUENCY
INTERPRETATION OF PROBABILITY.
We conduct an experiment many, many times. Then we say
The probability of event A =How many times A occurs
How many trial
Relative frequency is based on observation or a actual
measurement. Example: A die is rolled 100 times. The
number 3 is rolled 12 times. The relative frequency of
rolling a 3 is 12/100.

9. 3. PERSONAL OR SUBJECTIVE
PROBABILITY
These are values (between 0 and 1 or 0 and
100%) assigned by individual based on how
likely evends are to occur. Example: The
probability of my being asked on a date for
this weekend is 10%.

10. ANY QUESTION ?

11. THANK YOU FOR YOUR
ATTENTION.