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All Kings, Queens and Aces Are Removed from a Pack of 52 Cards. the Remaining Cards Are Well-shuffled and Then a Card is Drawn from It. Find the Probability that the Drawn Card is a Red Card. - Mathematics

Short Note

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a red card.

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Solution

There are 4 kings, 4 queens and 4 aces. These are removed.

Thus, remaining number of cards = 52 − 4 − 4 − 4 = 40.

Number of red cards now = 26 − 6 = 20.

∴ P(getting a red card) =`("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 20/40 = 1/2`

Thus, the probability that the drawn card is a red card is `1/2`.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 15 Probability
Exercise 15B | Q 23.2 | Page 698
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