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Real Numbers

Question
CBSEENMA10009387
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Red kings, queens and jacks are removed from a deck of 52 playing cards and then well shuffled. A card is drawn from the remaining cards. Find the probability of getting
(i) a king, (ii) a red card, (iii) a spade.

Solution

If Red kings, queens and jacks are removed from a deck at 52 cards, then n(S) = 52
(i) Let ‘A’ be the favourable outcomes of getting a king, then
n(A) = 02
Therefore,  P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 02 over 42 equals 1 over 21
(ii) Let 'B' be the favourable outcomes of getting 'a red card' their
               n(B) = 20
Therefore,  P(B) = fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 20 over 42 equals 10 over 21
(iii) Let 'C' be the favourable outcomes of getting 'a spade'. Then
              n(C) = 11
Therefore, P(C) = fraction numerator straight n left parenthesis straight C right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 11 over 42

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