Question

For an event, odds against is $6:5$. The probability that event does not occur is

• A. $\frac{5}{6}$
• B. $\frac{6}{11}$
• C. $\frac{5}{11}$
• D. $\frac{1}{6}$

Answer 1

The correct option is B

$\frac{6}{11}$

Find the probability that the event does not occur:

$\because$For an event, odds against it is $6:5$.

$\therefore$Total number of events(outcomes) $=6+5=11$

Here, the number of favorable outcomes$=6$

$\begin{array}{rcl}P\left(eventdoesnotoccur\right)& =& \frac{Numberoffavourableoutcomes}{TotalNumberofoutcomes}\\ & =& \frac{6}{11}\end{array}$

Hence, The probability that the event does not occur is $\frac{6}{11}$.