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. [CBSE 2017]

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Solution

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 $-$ 3 = 49.
(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)= $\frac{1}{49} .$

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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. [CBSE 2017]

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