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Ex 13.2, 15 (iii) - Chapter 13 Class 12 Probability
Last updated at Aug. 16, 2023 by Teachoo
Ex 13.2
Ex 13.2, 1
Ex 13.2, 2
Ex 13.2, 3 Important
Ex 13.2, 4
Ex 13.2, 5
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Ex 13.2, 7 Important
Ex 13.2, 8
Ex 13.2, 9 Important
Ex 13.2, 10 Important
Ex 13.2, 11 (i)
Ex 13.2, 11 (ii) Important
Ex 13.2, 11 (iii)
Ex 13.2, 11 (iv) Important
Ex 13.2, 12
Ex 13.2, 13 Important
Ex 13.2, 14 Important
Ex 13.2, 15 (i)
Ex 13.2, 15 (ii)
Ex 13.2, 15 (iii) Important You are here
Ex 13.2, 16 Important
Ex 13.2, 17 (MCQ)
Ex 13.2, 18 (MCQ) Important
Chapter 13 Class 12 Probability
Serial order wise
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 ? (iii) E : ‘the card drawn is a king or queen’ F : ‘the card drawn is a queen or jack’.Finding P(E), P(F) and P(E ∩ F) E : the card drawn is king or queen Number of kings or queen = 4 + 4 = 8 Total number of cards = 52 P(E) = 8/52 = 2/13 F : the card drawn is queen or jack Number of queen or jack = 4 + 4 = 8 Total number of cards = 52 P(F) = 8/52 = 2/13 Now, E ∩ F = the card drawn is a king or queen & queen or jack E ∩ F = the card drawn is a queen So, P(E ∩ F) =4/52=1/13 Now, P(E) . P(F) = 12/13 × 2/13 = 4/169 ≠ P(E ∩ F) Since P(E ∩ F) ≠ "P(E) . P(F)" Thus, E and F are not independent
