Question

Soni has digit cards $1,4$ and $7$. She makes $2$-digit number using each card only once. The probability that a $2$-digit number chosen at random is divisible by $2$ is:

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $0$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{1}{3}$

Two digit numbers using the digits $1,4$ and $7$ are: $14,17,41,71,47$ and $74$.
Total number of two digit numbers $=6$
Number of two digit even numbers $=2$
Required probability $=$ $\frac{2}{6}$ $=$ $\frac{1}{3}$