This presentation discusses the binomial probability distribution. The binomial probability distribution results from experiments with a fixed number of trials where each trial has two possible outcomes (success/failure) and the probability of success is the same for each trial. It provides examples like coin tosses and defines the notation used. Specifically, it defines p as the probability of success and q as the probability of failure (where q = 1 - p). The presentation also provides two example questions to demonstrate calculating the binomial probability distribution.

1. Presentation
Topic:
Binomial Probability
Distribution
By: Muhammad Tufail
R.No: 34
Class: BCS(Open)- 3rd

2. Binomial Probability Distribution:
The probability of two possible
outcomes in an experiment or that is
repeated multiple times.
Example:
• Success or failure
• Right or wrong
• Alive or dead
• Head or tail

3. Binomial Probability Distribution
A binomial probability distribution results from a
procedure that meets all the requirements:
The procedure has a fixed number of trials.
The trials must be independent (The outcomes
of any individual trials doesn’t affect the
probabilities of other trials).
Each trials must have all outcomes classified into
two categories (commonly referred to as success
and failure ).
The probability of success remains same in all
trials.

4. Notation for Binomial Probability
Distribution
S and F (Success or Failure) denote the two possible
categories of all outcomes; p and q will denote the
probabilities of S and F, respectively, so:
P(S)=p (p=Probability of Success)
P(F)=q=1-p (q=Probability of Failure)

5. Binomial Probability Distribution
Formula

6. Binomial Probability Distribution
Question-1: Toss a coin for 12 times. What
is the probability of getting exactly 7 heads?
Question-2: A fair is tossed 5 times. Find the
probability of obtaining various numbers of
heads.

7. Binomial Probability Distribution
Question-1: Toss a coin for 12 times. What
is the probability of getting exactly 7 heads?
Question-2: A fair is tossed 5 times. Find the
probability of obtaining various numbers of
heads.