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Last updated at March 16, 2023 by Teachoo
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