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Real Numbers

Question
CBSEENMA10009339

Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. What is the probability that the number on the card taken out is an even number.

Solution

Total no. of possible outcome(s) are 18. i.e.,    n(S) =18
Let A be the favourable outcomes of getting the number on the card which is an even number, then
A = (4,6,8,10,12,14,16,18,20) i.e.,    m(A) = 9
Therefore,
rightwards double arrow   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 9 over 18 equals 1 half

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