Find the probability of the event with odds against it 1 to 2.
A) $P ( E ) = \frac { 1 } { 4 }$
B) $P ( E ) = \frac { 3 } { 4 }$
C) $P ( E ) = \frac { 1 } { 3 }$
D) $P ( E ) = \frac { 2 } { 3 }$
E) $P( E ) = \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

Odds against an event = (Number of ways event can fail) : (Number of ways event can occur). Given odds against the event are 1 to 2, it means for every 1 way it can fail, there are 2 ways it can occur. Therefore, the probability of the event occurring is $P(E) = \frac{Number\ of\ ways\ event\ can\ occur}{Total\ number\ of\ outcomes} = \frac{2}{1+2} = \frac{2}{3}$.

Find the Probability of the Event with Odds Against It P(E)=14P ( E ) = \frac { 1 } { 4 }P(E)=41​

Find the Probability of the Event with Odds Against It $P ( E ) = \frac { 1 } { 4 }$