Question

Two digit number are formed from the digits $0,1,2,3,4$ where digits are not repeated. Find the probability for each of the event that the number formed is an even number.

• A. $\frac{3}{8}$
• B. $\frac{1}{4}$
• C. $\frac{5}{8}$
• D. $\frac{7}{8}$

Answer 1

Answer: (C)

$\frac{5}{8}$

Sample space $=4\times 4=16$
No of occurrence of even nos.:-
when $0$ last digit $=4$
when $2$ or $4$ last digit $=2\times 3=6$
Total occurrence $=4+6=10$
Probability of event $=10/16=5/8$