Question

The King, Queen, Jack and Ace of heart are removed from the deck of

52

playing cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting Red honour card.

Accepted Answer

If king, Queen, Jack and Ace of heart are removed from the deck of $52$ playing cards, remaining number of cards $= 52 - 4 = 48$

Honour cards are $4$ in any $13$ cards set, that are $K - Q - J - A$ .

Given, $4$ red honour cards of heart are removed.

Therefore, remaining red honour cards of red diamond are $\Rightarrow 4$

Total number of possible outcomes $= 48$

Total number of favourable outcomes $= 4$

Therefore, probability of getting red honour card $= \frac{Number of remaining red honour cards}{Total number of cards after removing 4 red honour cards}$ $= \frac{4}{48} = \frac{1}{12}$

Therefore, probability of getting red honour card $= \frac{1}{12}$

The King, Queen, Jack and Ace of heart are removed from the deck of $52$ playing cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting Red honour card.

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