Question

$17$ cards are numbered $1,2,\mathrm{3....}16,17$ are put in a box and mixed. A card is drawn at random from the box. What is the probability that the card is divisible by both $2$ & $3$?

• A. $\frac{1}{17}$
• B. $\frac{2}{17}$
• C. $\frac{3}{17}$
• D. $\frac{4}{17}$

Answer 1

The correct option is B $\frac{2}{17}$

Total cards : $17$ (Numbered from $1$ to $17$)

Total number of cards having multiple of $2$ and $3$: $2$ $\to \{6,12\}$

Probability of getting a card with multiple of $2$ and $3$: $P=\frac{2}{17}$