Ex 13.3, 7 - Chapter 13 Class 12 Probability (Term 2)
Last updated at May 29, 2018 by Teachoo
Bayes theorem
Ex 13.3, 2 Important
Ex 13.3, 3
Misc 3
Ex 13.3, 4 Important
Ex 13.3, 9
Ex 13.3, 5
Ex 13.3, 13 (MCQ) Important
Example 21 Important
Ex 13.3, 6 Important
Ex 13.3, 10 Important
Example 18 Important
Example 17 Important
Ex 13.3, 7 You are here
Ex 13.3, 8 Important
Example 19 Important
Ex 13.3, 11
Ex 13.3, 12 Important
Example 37 Important
Example 20 Important
Example 33 Important
Misc 12
Misc 16 Important
Misc 13 Important
Bayes theorem
Ex 13.3, 7 An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver? Let S : Scooter driver met with accident C : Car driver met with accident T : Truck driver met with accident A : the driver is insured We need to find the Probability that the person met with an accident is a scooter driver, if he is insured i.e. P(S|A) P(S|A) = 𝑃 𝑆 . 𝑃(𝐴|𝑆)𝑃 𝑆 . 𝑃(𝐴|𝑆)+𝑃 𝐶 . 𝑃(𝐴|𝐶)+𝑃 𝑇 . 𝑃(𝐴|𝑇) Putting values in formula, 𝑃 B1|𝐺 = 0.01 × 160.01 × 16 + 0.03 × 13 + 0.15 × 12 = 0.01 × 16 0.01 16 + 3 × 13 +15 × 12 = 16 16 + 1 + 152 = 16 52 6 = 𝟏𝟓𝟐 Therefore, required probability is 152