question_answer 1)

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cass are te events E and F independent ? (i) E : ‘the card drawn is a spede’. F : ‘the card drawn is an ace’. (ii) E : ‘the card drawn is black’ F : ‘the card drawn is a king’ (iii) E : ‘the card drawn is a king or queen’ F “ ‘The card drawn is a queen or jack’.  

Answer:

(i)             Since P(E) × P(E)       Therefore, E and F are independent events.       (ii)             Since P(E) × P(F)       Therefore, E and F are independent events.       (iii)                                     Since                         Therefore, E and F are not independent events.