Question

A two digit number is formed with the digits 3, 5 and 7. Find the probability that the number so formed is greater than 57 (repetition of digits is not allowed).

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{5}$
• D. None of these

Answer 1

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

$Twodigitsnumberformedfrom3,5and7excludinfrepitionare35,53,37,73,57,75Outof6numberformedonlytwoaregreaterthan57i.e75,73Probabilitythatthenumberisgreaterthan57=\frac{2}{6}=\frac{1}{3}$