# A card is drawn form a pack of 52 cards so that each card is equally likely to be selected. In which of the following cases are the events A and N independent?i. A=the card drawn is a king or queen, B=the card drawn is a queen or jackii. A=the card drawn is black, B=the card drawn is a kingiii. B=the card drawn is a spade, B=the card drawn in an ace

(i) In a pack of 52 cards there are 4 king,4 queen,4 jack

A=the card drawn is a king or queen

B=the card drawn is a queen or jack

AB=Card is a queen

Therefore A and B are not independent events

(ii) In a pack of 52 cards there are 4 king,26 black

A=the card drawn is a black

B=the card drawn is a king

AB=Card is a black king

Therefore A and B are independent events

(iii) In a pack of 52 cards there are 13 spade,4 ace

A=the card drawn is a spade

B=the card drawn is an ace

AB=Card is an ace from spade

Therefore A and B are independent events

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