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Real Numbers

Question
CBSEENMA10009397
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12 cards, numbered 1, 2,3......., 12 are put in a box and mixed throughly. A card is drawn at random from the box. Find the probability that the card drawn bears

(i)    an even number
(ii)    a number divisible by 2 or 3.

Solution

(i) Let A be the favourable outcomes of getting an even number, then
A = {2,4,6,8,10,12}
⇒    n( A) = 6
Therefore,
straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 6 over 12 equals 1 half

(it) Let B be the favourable outcomes of getting  number divisible by 2 or 3, then n(B) ='8
Therefore,
straight P left parenthesis straight B right parenthesis equals fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 8 over 12 equals 2 over 3

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