Question

If the odds against an event be $2:3$, then the probability of its occurrence is

• A. $\frac{1}{5}$
• B. $\frac{2}{5}$
• C. $\frac{3}{5}$
• D. $1$

Answer 1

The correct option is C

$\frac{3}{5}$

Explanation for correct option:

From the classical definition of probability we know that

Probability of an event $=\frac{\mathrm{number}\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{outcomes}}$

Given that the odds against an event be $2:3$

Total number of cases$=2+3=5$

Total number of favourable cases $=3$

So the probability of of its occurrence is $=\frac{3}{5}$

Hence, option (C) $\frac{3}{5}$, is correct answer.