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

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


Transcript

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 : ‘the card drawn is black’ F : ‘the card drawn is a king’Finding P(E), P(F) and P(E ∩ F) 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 Now, 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 = P(E ∩ F) 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.