Problema Solution

The probability of picking a can of juice out of a cooler containing juice, soda, and water is 2/7. Find the odds against selecting a can of juice.

Answer provided by our tutors

The odds against an event is a ratio of the probability that the event will fail to occur (failure) to the probability that the event will occur (success).


Odds against event = P(failure) / P(success)


P(success) = 2/7


P(failure) = 1 - P(success)


P(failure) = 1 - 2/7


P(failure) = 5/7


Odds against event = (5/7)/ (2/7)


Odds against event = 5/2


the odds against selecting a can of juice are 5 : 2.