Question

A box contains 100 cards marked with numbers 1 to 100 . If one card is drawn from the box, find the probability that it bears (1) a single digits number, (2) a two digit number ,(3) a three digit number ,(4) a number divisible by 8 ,(5) a multiple of 9 ,(6) a multiple of 5 .​

Answer 1

Total number of outcomes = 100

(i) P (single digit number) = \bf\huge\frac{9}{100}

(ii) P (perfect square) = \bf\huge\frac{10}{100}

= \bf\huge\frac{1}{10}

(iii) P (a number which is divisible by 7)

= \bf\huge\frac{14}{100}

= \bf\huge\frac{7}{50}

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