A black card is lost from a deck of 52 ...

CBSE Class 10 Basic Math 2025 All Sets Solved Paper

Question : 5 of 20

Marks: +1, -0

A black card is lost from a deck of 52 playing cards. Rest of the cards are shuffled and one card is drawn at random from the available cards. The probability that drawn card is 'king of hearts', is

$\frac{1}{52}$
$\frac{1}{4}$
$\frac{1}{51}$
$\frac{1}{26}$

Solution:

There are 52 cards in a standard pack. After one card is lost, only 51 cards remain in the pack.

In a standard deck, there are 26 black cards. If one of these black cards is lost, none of the remaining cards is affected and all red cards (26) are intact.

The king of hearts is red card, So the king of hearts is still present in the remaining pack of 51 cards.

P (king of hearts) =

\frac{1}{51}

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