Question

A game of numbers has cards marked from $11,12,13,\dots ,40.$ One card is drawn at random. Find the probability that the number drawn is divisible by $7.$

Answer 1

Total number of all possible outcomes $=30$.

Since required (favourable) outcomes are: $14,21,28$ and $35$.

$\therefore$ The number of favourable outcomes $=4$.

$\therefore P$ (Divisible by $7$) $=\frac{4}{30}$

$=\frac{2}{15}$