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Question

One card is drawn from a well-shuffled deck of52cards. Find the probability of getting a king of red colour.


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Solution

In a pack of cards, there are total52cards, among which there are13-13cards of - "Heart","Spade","Diamond","Club".

Among these four types, Heartanddiamond are red-colored cards and Spadeandclub are black-colored cards.

Among13cards, there are 3facecards(king,queenandjack),oneacecard & 9 numbered cards are present.

Let's find the probability of getting king of red colour.

Total number of cards,n(S) =52

Number of king of red colour, n(E)=2

P(gettingredcard)=nooffavourableoutcomes,n(E)totalnoofpossibleoutcomesofevent,n(S)

=252=126

Hence, the probability of getting a king of red colour is126.


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