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Real Numbers

Question
CBSEENMA10009396
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18 Cards, numbered 1, 2, 3, ..., 18 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

Total number of cards 18 i.e., n( S) = 18
(i) Let A be the favourable outcomes of getting an even number, then
A= { 2. 4, 6, 8, 10, 12, 14, 16, 18 }
⇒ n(A) = 9 Therefore,
straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 9 over 18 equals 1 half

(ii) Let B be the favourable outcomes of getting a number divisible by 2 or 3 then, N(B) = 12
Therefore,

straight P left parenthesis straight B right parenthesis space equals space fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 12 over 18 equals 2 over 3

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