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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.

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Question

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.

Sum
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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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Chapter 19: Probability - EXERCISE 19 [Page 932]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 19 Probability
EXERCISE 19 | Q 43. (ii) | Page 932
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