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  1. Chapter 13 Class 12 Probability
  2. Serial order wise

Transcript

Example 19 In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?Example 19 In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?"P(A)" = Probability that the bolt is made by machine A = 25%=25/100=๐ŸŽ.๐Ÿ๐Ÿ“ ๐‘ท(๐ƒ"|A") = Probability of a defective bolt from machine A = 5%=5/100=๐ŸŽ.๐ŸŽ๐Ÿ“ "P(B)" = Probability that the bolt is made by machine B = 35%=35/100=0.35 ๐‘ท(๐ƒ"|B") = Probability of a defective bolt from machine B = 4%=4/100=๐ŸŽ.๐ŸŽ๐Ÿ’ "P(C)" = Probability that the bolt is made by machine C = 40%=40/100=0.40 ๐‘ท(๐ƒ"|C") = Probability of a defective bolt from machine C = 2%=2/100=๐ŸŽ.๐ŸŽ๐Ÿ Putting Values in formula, "P(B|D) = " (0.35 ร— 0.04)/(0.25 ร— 0.05 + 0.35 ร— 0.04 + 0.40 ร— 0.02) = 0.014/( 0.0125 + 0.014 + 0.008 ) = 0.014/( 0.0345 ) = 140/( 345 ) = 28/69 Therefore, required probability is ๐Ÿ๐Ÿ–/๐Ÿ”๐Ÿ—

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.