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SIMRAN age 35 ANJALI age 30 SANJANA age 37
RAJ age 31 RAHUL age 32 PREM AGE 35
SAMPLE SPACE =
{(SIMRAN, RAJ) (SIMRAN, RAHUL) (SIMRAN,PREM) (ANJALI,RAJ) (ANJALI, RAHUL) (ANJALI,PREM) (SANJANA,RAJ) (SANJANA,RAHUL) (SANJANA,
PREM)}
PROBABILITY OF : P(ANJALI RAHUL) =1/9
Probability of Rahul falling in love witha woman above 31:
= 2/3
Probability of simran finding love in someone who is below35 and a male:
, = 2/3
CONDITIONAL
PROBABILITY
SAMPLE
POINT
JOINT
PROBABILITY
TRY THIS!
WHAT IS THE PROBABILITY OF PREM FALLING IN LOVE
WITH A WOMAN BELOW 35?
try this!
The probability of
sanjana falling in love
with someone who is
above 31 and a male.
Bayes theorem:
One day all six of them get their friends anddecide togo on a easter egg hunt. There are a total of 60 boys and 40 girls.
boys girls total
Got >20 eggs 50 25 75
Got < 20 eggs 10 15 25
total 60 40 100
The probability of picking a guy who got more than 20 eggs using bayes theoremwill be
P(A/B) = P(A).P(B/A) = 0.66
P(A).P(B/A) +P(A’).P(B/A’)
P(A)=60/100 =0.6 (no.of boys) P(A’) = 40/100 =0.4 (No. of girls)
P(B/A)=50/60 = 0.83(boys eggs>20) P(B/A’) = 25/40 = 0.625 (girls eggs >20)
By
fabulous 5
PGDM 1A
PROBABILITY- BAYE'S THEOREM

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PROBABILITY- BAYE'S THEOREM

  • 1. SIMRAN age 35 ANJALI age 30 SANJANA age 37 RAJ age 31 RAHUL age 32 PREM AGE 35 SAMPLE SPACE = {(SIMRAN, RAJ) (SIMRAN, RAHUL) (SIMRAN,PREM) (ANJALI,RAJ) (ANJALI, RAHUL) (ANJALI,PREM) (SANJANA,RAJ) (SANJANA,RAHUL) (SANJANA, PREM)} PROBABILITY OF : P(ANJALI RAHUL) =1/9 Probability of Rahul falling in love witha woman above 31: = 2/3 Probability of simran finding love in someone who is below35 and a male: , = 2/3 CONDITIONAL PROBABILITY SAMPLE POINT JOINT PROBABILITY TRY THIS! WHAT IS THE PROBABILITY OF PREM FALLING IN LOVE WITH A WOMAN BELOW 35? try this! The probability of sanjana falling in love with someone who is above 31 and a male.
  • 2. Bayes theorem: One day all six of them get their friends anddecide togo on a easter egg hunt. There are a total of 60 boys and 40 girls. boys girls total Got >20 eggs 50 25 75 Got < 20 eggs 10 15 25 total 60 40 100 The probability of picking a guy who got more than 20 eggs using bayes theoremwill be P(A/B) = P(A).P(B/A) = 0.66 P(A).P(B/A) +P(A’).P(B/A’) P(A)=60/100 =0.6 (no.of boys) P(A’) = 40/100 =0.4 (No. of girls) P(B/A)=50/60 = 0.83(boys eggs>20) P(B/A’) = 25/40 = 0.625 (girls eggs >20) By fabulous 5 PGDM 1A