Question

the probability of winning a particular game at the game place is 1/4. find the odds against winning the game

Answer 1

The odds against winning the game is 3 to 1.

Explanation:

*Probability states that it is the likelihood of something happening in the future.

*Its value lie between 0 and 1.

*complement of an event is that event that is not occurring .

Then, the probability of Event A will not occur is denoted by P(A').

Given:

The probability of winning a particular game at game place is
`(1)/(4)`

or we can write this as P(X) =
`(1)/(4)` where X is winning a particular game at game place.

To find the odds against winning the game:

P(X') = P(Not winning a game) = 1-P(X) =
`1-(1)/(4) = (4-1)/(4) =(3)/(4)`

Now, we have

the probability of winning is
`(1)/(4)` = 25%

and the probability of not winning is
`(3)/(4)` = 75%

Therefore, odds against winning is (chances against success) : (chances for success) = 3 to 1 or 3 : 1