Q) In a pack of 52 playing cards one card is lost. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is queen of heart, if the lost card is a black card.

Ans: We have 52 cards in a pack.

Step 1: From the given pack of 52 cards, if 1 card is lost, we are left with 51 cards.

∴ Total chances = balance cards in the pack = 51

Step 2: Since in a pack of cards, there is only 1 queen of heart and it is given that the lost card is black, it means queen of heart is still in the pack.

∴ favourable chances = 1

Step 3: We know that the probability of drawing a card:

=

By substituting the values from above steps, we get:

Probability =

Therefore, probability of drawing queen of heart from the remaining cards is .

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