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The probability of an event is 4/5. How do you find the odds against this event?

Answer 1

Hazel Anglin

#1/4#

For an event with probability #P(A)#, the odds in favour can be calculated as:

#OddsFavour(A)=(P(A))/(1-P(A))#

Odds against this event is simply the reciprocal of the odds in favour.

#OddsAgst(A)=(1-P(A))/(P(A))#

#=(1-4/5)/(4/5)#

#=(1/5)/(4/5)#

#=1/4#

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Answer 2

Eva Abramson

To find the odds against an event when the probability is ( \frac{4}{5} ), subtract the probability from 1 and then divide the result by the probability. So, the odds against the event are ( \frac{1 - \frac{4}{5}}{\frac{4}{5}} = \frac{1}{4} ). Therefore, the odds against the event are 1 to 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.