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Real Numbers

Question
CBSEENMA10009386
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All the three cards of spades are removed from a well-shuffled pack of 52 cards. A card is drawm at random from the remaining pack. Find the probability of getting.
(a) a black face card (b) a queen (c) a black card.

Solution

If all the three face cards of spades are removed, then possible outcome(s) are 49. i.e.,    n(S) = 49
(a) Let A be the favourable outcomes of getting a black face card, then n (A) = 3
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 3 over 49
(b) Let B be the favourable outcomes of getting a queen, then
   
             n(B) = 3
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 3 over 49

(c) Let C be the favourable outcomes of getting a black card, then
n(C) = {23}
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 23 over 49

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