Question

A cricket team plays $x$ number of matches in winter and wins $m$ matches. Further, it plays $y$ number of matches in summer and wins $n$ matches. Its winning probability in both the seasons is

• A. $\frac{m}{x}\cdot \frac{n}{y}$
• B. $\frac{x}{m}-\frac{y}{n}$
• C. $\frac{m+n}{x+y}$
• D. $\frac{x+y}{m+n}$

Answer 1

The correct option is C $\frac{m+n}{x+y}$

Total number of matches in both seasons $=x+y$
Number of winning matches $=m+n$
$\therefore$ Required probability $=\frac{m+n}{x+y}$