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

## 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 : m^{c} | ||||||||

= |
| ||||||||

= |
| ||||||||

= | P(Event) : P(Event^{c}) |
---|

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) | ||||||||

= |
| ||||||||

= |
| ||||||||

= | P(Event) : P(Event^{c}) |
---|

⇒ Odds in favour/favor of an Event "A" = P(A) : P(A^{c})

## 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 | |||||||

= | m^{c} : m | ||||||||

= |
| ||||||||

= |
| ||||||||

= | P(Event^{c}) : P(Event) |
---|

Odds against an Event | = | Number of unfavourable/unfavorable choices : Number of favorable/Favourable choices | |||||||

(Or) | = | Number of Failures : Number of Successes | |||||||

= | (n - m) : m | ||||||||

= |
| ||||||||

= |
| ||||||||

= | P(Event^{c}) : P(Event) |
---|

⇒ Odds against an Event "A" = P(A^{c}) : P(A)

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