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# 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 An Even Numbered Red Card? - Mathematics

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#### Question

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 An even-numbered red card?

#### Solution 1

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

∴ All cards whose numbers are multiples of 3 are = 4 x 3 = 12 cards ....(Jack, Queen, and King of each denomination)

Remaining cards = 52 - 12 = 40

Now, Number of face cards = 12

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

#### Solution 2

No. of total cards = 52

cards removed of 4 colours of multiples of 3

= 3, 6, 9 = 4 x 3 = 12

Remaining cards = 52 - 12 = 40

An even number red cards = 2, 4, 8, 10 card = 2 x 4 = 8

⇒ Probability P(E) =8/40=1/5

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#### APPEARS IN

ICSE Solution for Class 10 Mathematics (2020 (Latest))
Chapter 20: Probability
Exercise | Q: 16.2
Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 25: Probability
Exercise 25(C) | Q: 32.2 | Page no. 396