Chits numbered from 1 to 120 are put in a box | vedclass

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(D) Total number of chits in the box is $n = 120$.$A$ $3$-digit number ranges from $100$ to $120$.The number of favourable outcomes $m$ is the count o

Vedclass · Accepted Answer

$\frac{7}{40}$

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(D) Total number of chits in the box is $n = 120$.$A$ $3$-digit number ranges from $100$ to $120$.The number of favourable outcomes $m$ is the count of integers from $100$ to $120$ inclusive,which is calculated as $120 - 100 + 1 = 21$.The probability $P$ of drawing a $3$-digit number is given by the ratio of favourable outcomes to total outcomes:$P = \frac{m}{n} = \frac{21}{120}$.Simplifying the fraction by dividing both numerator and denominator by $3$:$P = \frac{7}{40}$.

Chits numbered from $1$ to $120$ are put in a box and a chit is drawn randomly from the box. The probability that the chit drawn bears a $3$-digit number is ............

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