# Probability and Odds in Favor/Favour or Against an Event

## Finding Odds in favor/favour using Probability

Odds in Favour of an Event = Number of favourable/favorable choices
: Number of Unfavorable/UnFavourable Choices
(Or) = Number of Successes : Number of Failures
= m : mc
=
 m m + mc
:
 mc m + mc
=
 m n
:
 mc n
= P(Event) : P(Eventc)

### alternatively

Odds in Favour of an Event = Number of favourable/favorable choices
: Number of Unfavorable/UnFavourable Choices
(Or) = Number of Successes : Number of Failures
= m : (n - m)
=
 m m + (n - m)
:
 (n - m) m + (n - m)
=
 m n
:
 (n - m) n
= P(Event) : P(Eventc)

⇒ Odds in favour/favor of an Event "A" = P(A) : P(Ac)

## Finding Odds against using Probability

Odds against an Event = Number of unfavourable/unfavorable choices
: Number of favorable/Favourable choices
(Or) = Number of Failures : Number of Successes
= mc : m
=
 mc m + mc
:
 m m + mc
=
 mc n
:
 m n
= P(Eventc) : P(Event)

### alternatively

Odds against an Event = Number of unfavourable/unfavorable choices
: Number of favorable/Favourable choices
(Or) = Number of Failures : Number of Successes
= (n - m) : m
=
 (n - m) m + (n - m)
:
 m m + (n - m)
=
 (n - m) n
:
 m n
= P(Eventc) : P(Event)

⇒ Odds against an Event "A" = P(Ac) : P(A)

 ... 111213 ...