The king, the jack and the 10 of spades are lost from a pack of 52 cards and a card is drawn from the remaining cards after shuffling.
The king, the jack and the 10 of spades are lost from a pack of 52 cards and a card is drawn from the remaining cards after shuffling. Find the probability of getting a
(i) red card
(ii) black jack
(iii) red king
(iv) 10 of hearts.
Total number of cards in a deck is 52.
The number of cards left after loosing the King, the Jack and the 10 of spade = 52
(i) Red card left after loosing King, the Jack and the 10 of spade will be 13 hearts + 13 diamond = 26 cards
$P($ red card $)=\frac{26}{49}$
(ii) Black jack left after loosing King, the Jack and the 10 of spade will be one only of club.
$P($ black jack $)=\frac{1}{49} .$
(iii) Red king left after loosing King, the Jack and the 10 of spade will be red of diamond and red of hearts i.e two cards.
$P($ red king $)=\frac{2}{49}$
(iv) 10 of hearts will be one only after loosing King, the Jack and the 10 of spade
$P(10$ of hearts $)=\frac{1}{49} .$