Embed Size (px)
DESCRIPTION
This slides gives you a basic idea about probability and its applications, i tried to add some problems in this slide. Hope all can understand and it will be use full for all.
Citation preview
PROBABILITY
Zafer AMInstitute Of Management Kerala
Karyavattom Campus
What Is Probability ?Probability is a measure or
estimation of how likely it is that something will happen or that a statement is true.
Ways in FavourTotal Number Of Ways
Total Number Of Ways > Ways in Favour
Probability is b/w 0 & 1.12/10/2013
If P=0 , Impossible Event.
If P=1 , Certain Event.definite
going to happen
0 < P <1
12/10/2013
Probability Of Not Happening
=
An Event P(A)
Event Going To Happen P(A)+Event Not Going To Happen P(A) = 1
Universe
12/10/2013
E1- Guyz eating SamosaE2- Guyz Eating Cutlet
P(A or B) = P(A) + P(B) - P(A∩B)
P(A) P(B)
12/10/2013
Mutually Exclusive Events
Two events are mutually exclusive if they cannot occur at the same time.An example is tossing a coin once, which can result in either heads or tails
P(A or B) = P(A) + P(B)
P(A) P(B)
12/10/2013
Probability Of Both Happening P(A) + P(B)
Atleast One Going To HappenP(A) + P(B) – P(A∩B)
Probability Of Exactly One Happening.
P(A) or P(B)
12/10/2013
COINS
Heads Or Tails.Probability of getting Heads = ½Probability of getting Tails = ½
12/10/2013
Coins
Probability of getting one Heads and one Tail when 2 coin are tossed.
12/10/2013
What is the Probability for getting 3 heads and 1 tail if 4 coins are tossed ?
12/10/2013
[email protected] 1312/10/2013
[email protected] 1512/10/2013
[email protected] 1612/10/2013
Multiplication TheoremThe probability of happening an event
can easily be found using the definition of probability.
But just the definition cannot be used to find the probability of happening of both the given events.
A theorem known as “Multiplication theorem” solves these types of problems.
P(A∩B) = P(A) * P(B|A) P(A|B) denotes the conditional probability of A assuming B.12/10/2013
[email protected] 1912/10/2013
