
Independent events
Ex 13.2, 6
Ex 13.2, 10 Important
Ex 13.2, 5
Example 10
Example 11 Important
Example 12 Important
Ex 13.2, 15 (i) You are here
Ex 13.2, 8
Ex 13.2, 7 Important
Ex 13.2, 11 (i)
Ex 13.2, 4
Ex 13.2, 13 Important
Ex 13.2, 14 Important
Ex 13.2, 18 (MCQ) Important
Example 13 Important
Example 14 Important
Independent events
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 ? (i) E : ‘the card drawn is a spade’ F : ‘the card drawn is an ace’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 spade Number of spades = 13 Total number of cards = 52 P(E) = 13/52 = 1/4 F : the card drawn is an ace Number of ace = 4 Total number of cards = 52 P(F) = 4/52 = 1/13 E ∩ F = the card drawn is an ace of spades Number of ace of spades = 1 So, P(E ∩ F) = 1/52 Now, P(E) . P(F) = 1/4 × 1/13 = 1/52 Since, P(E ∩ F) = P(E) . P(F), Therefore, E and F are independent events