PROBABILITY- BAYE'S THEOREM
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The document describes a sample space of potential romantic pairings between three women - Simran (age 35), Anjali (age 30), and Sanjana (age 37) - and three men - Raj (age 31), Rahul (age 32), and Prem (age 35). It provides the probabilities of some specific pairings and scenarios, and poses questions about calculating additional conditional probabilities based on the information given.
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