Question

There are $6$ balls of weight $1kg$, $2kg$, $3kg$, $4kg$, $5kg$ and $6kg$ in a bag. Find the probability that the weight of drawn ball is less than 5 kg.

• A. $\frac{2}{3}$
• B. $\frac{1}{4}$
• C. $\frac{1}{3}$
• D. $\frac{1}{6}$

Answer 1

The correct option is A $\frac{2}{3}$

Total possible outcomes $=6$ $i.e.(1kg,2kg,3kg,4kg,5kg)$

$\therefore$ number of balls having less than 5 kg $=4$

they are $1kg,2kg,3kg,4kg.$

$P\left(A\right)=\frac{Numberoffavorableoutcomes}{TotalNumberofpossibleoutcomes}$

$\therefore P\left(A\right)=\frac{4}{6}=\frac{2}{3}$