SIMRAN age 35 ANJALI age 30 SANJANA age 37

RAJ age 31 RAHUL age 32 PREM AGE 35SAMPLE 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 with a woman above 31:

= 2/3Probability of simran finding love in someone who is below 35 and a male:

, = 2/3

PROBABILITY

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 and decide to go on a easter egg hunt. There are a total of 60 boys and 40 girls.

boys girls totalGot >20 eggs 50 25 75Got < 20 eggs 10 15 25total 60 40 100

The probability of picking a guy who got more than 20 eggs using bayes theorem will 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)

Try this what is the probability of picking up a girl who got

less than 20 eggs?

Byfabulous

5PGDM 1A