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Question

From a well-shuffled deck of 52 cards, a card is drawn at random. Find the probability that the card drawn is

(i) Red and a king

(ii) Either red or a king

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Solution

Let S denote the sample space. Then, n(S)=52

(i) Let E1= event of drawing a red card which is a king.

We know that the number of red kings is 2. So, n(E1)=2

P(getting a red king) =P(E1)=n(E1)n(S)=252=126

(ii) Let E2= event of drawing a card which is either red or a king. There are 26 red cards (including 2 red kings) and there are 2 more kings.

n(E2)=(26+2)=28

P(getting a red card or a king) =P(E2)=n(E2)n(S)=2852=713.


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