# Ex 13.3, 7 - Chapter 13 Class 12 Probability (Term 2)

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

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

Chapter 13 Class 12 Probability (Term 2)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.