Find the probability the event with odds in favor of 100 to 1.
A) $P ( E ) = \frac { 100 } { 101 }$
B) $P \left( E \right) = \frac { 1 } { 100 }$
C) $P ( E ) = \frac { 99 } { 100 }$
D) $P ( E ) = \frac { 99 } { 101 }$
E) $P \left( E \right) = \frac { 1 } { 101 }$

Question

Find the probability the event with odds in favor of 100 to 1.
A) $P ( E ) = \frac { 100 } { 101 }$
B) $P \left( E  \right) = \frac { 1 } { 100 }$
C) $P ( E ) = \frac { 99 } { 100 }$
D) $P ( E ) = \frac { 99 } { 101 }$
E) $P \left( E  \right) = \frac { 1 } { 101 }$

Quizplus · Accepted Answer

When the odds of an event are given as "a to b", the probability of the event happening is given by $\frac{a}{a+b}$. So, in this case, the probability of the event happening is $\frac{100}{100+1}=\frac{100}{101}$. Therefore, the best choice is A.

Find the Probability the Event with Odds in Favor of 100