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Ex 13.2, 15 - Chapter 13 Class 12 Probability - Part 3

Ex 13.2, 15 - Chapter 13 Class 12 Probability - Part 4

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Ex 13.2, 15 One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent ? (ii) E : ‘thea card drawn is a king’Two events A and B are independent if P(A ∩ B) =P(A) . P(B) One card is drawn at random from a well shuffled deck of 52 cards. E : the card drawn is a black Number of black cards = 26 Total number of cards = 52 P(E) = 26/52 = 1/2 F : the card drawn is an king Number of king cards = 4 Total number of cards = 52 P(F) = 4/52 = 1/13 E ∩ F = the card drawn is a black king Number of black king = 2 So, P(E ∩ F) = 2/52 = 1/26 Now, P(E) . P(F) = 1/2 × 1/13 = 1/26 Since, P(E ∩ F) = P(E) . P(F), Therefore, E and F are independent events

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.