Question

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

Answer 1

Answer:

The odds against winning the game is 3 to 1.

Step-by-step 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 $\frac{1}{4}$

or we can write this as P(X) = $\frac{1}{4}$ 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) = $1-\frac{1}{4} = \frac{4-1}{4} =\frac{3}{4}$

Now, we have

the probability of winning is $\frac{1}{4}$ = 25%

and the probability of not winning is $\frac{3}{4}$ = 75%

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

Answer 2

If the probability of winning the game is 1/4, then we do 4/4 - 1/4 to get 3/4, which is the odds against winning the game.