All kings, queens are aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is : a black face card        (b)  a red card.

Explanation

The 4 kings, 4 queens, and 4 aces are removed.


Hence, remaining number of cards `=52-4-4-4= 40.`


(i) Let E be the event of getting a black face card


Number of black face cards =2 (only black jacks) = number of favourable event


Hence, `{P}{text ( getting a black face card )} ={P}({E})=2 / 40=1 / 20`


(ii) Let E be the event of getting a red card


Number of favourable events = Number of red cards now `=26-6=20`


Hence, P( getting a red card )`=P(E)=20 / 40=1 / 2`