Question

A three digit number is formed by using numbers 1,2 , 3 and

4. The probability that the number is divisible by 3, is -

• A. $\frac { 2 } { 3 }$
• B. $\frac { 2 } { 7 }$
• C. $\frac { 1 } { 2 }$
• D. $\frac { 3 } { 4 }$

Answer 1

Answer: (C)

$\frac { 1 } { 2 }$

Answer 2

Total three digit number = 4 × 3 × 2 = 24 Number divisible by 3 is formed by 1, 2,3 or 2, 3, 4 is = + = 12.

Required prob. = $\frac { 12 } { 24 }$ = $\frac { 1 } { 2 }$