Question

Two cards are drawn at random from $10$ cards numbered $1$ to $10$. The probability that their sum is even if both the cards are drawn together

• A. $\frac{1}{3}$
• B. $\frac{4}{9}$
• C. $\frac{5}{9}$
• D. $\frac{1}{4}$

Answer 1

Answer: (B)

$\frac{4}{9}$

There are only 2 cases $=$ both even or both odd
$P=\frac{{}^5{C}_2}{{}^{10}{C}_2}\ast 2=4/9$