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Real Numbers

Question
CBSEENMA10009400

A bag contains tickets, number 11,12, 13......30. A ticket is taken out from the bag at random, find the probability that the number on the drawn ticket is (0 a multiple of 7, (ii) greater than 15 and a multiple of 5.

Solution

Total no. of tickets =20 Le.,    n(S) = 20
I. Let ‘A’ be the favourable outcomes of getting a multiple of 7, then
A = (14,21,28)
i.e.,    n( A) = 3
Therefore,
rightwards double arrow space space space space straight P left parenthesis straight A right parenthesis space equals space space 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 20

II. Let ’B' be the favourable outcomes of getting the number greater than 15 and multiple of 5, then B = (20,25,30) i.e.,    n(B) = 3

Therefore,
rightwards double arrow space space space space space 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 3 over 20