From a pack of 52 playing cards all cards whose numbers are

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asked Apr 6 in Class X Maths by priya12 (-11,502 points)

From a pack of 52 playing cards all cards whose numbers are multiples, of 3 are removed. A card is now drawn at random.
What is the probability that the card drawn is:
(i) a face card (King, Jack or Queen)
(ii) an even numbered red card?

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1 Answer

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answered Apr 6 by muskan15 (-2,337 points)

The numbers which are multiple of 3 in 52 playing cards are 3, 6 & 9 i.e cards of each denomination

∴ All cards whose numbers are multiples of 3 are = 4 × 3 = 12 cards.

[Jack, queen & king of each denomination]

Remaining cards = 52 – 12 = 40.

Now, No. of face cards = 12

(i) P (face card) = 12/40 =3/10

Again, even numbered cards are 2, 4, 6, 8 and 10 each of heart (red) & Diamond (red)

∴ Total even numbered red card = 5 × 2 = 10

(ii) P (even numbered red card) = 10/40 = 1/4

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