Suppose the odds against winning a $3 prize in a lottery game are 8 to 3. What is the probability of winning $3 in the game?

The probability of winning $3 is about 0.7272 or 72.72 %

Step-by-step explanation:

Given:

Odd against favor are 8:3

To Find:

The probability of winning $3.

Solution:

We know that probability for success is given as follows:

Odd against favor is in ratio 8:3

General formulation is termed as antecedent and consequent .

here antecedent is 8 and

consequent is 3 .

And odd against favor is termed as ratio of failures.

We need to know odds in favor.

Probability (Odds in favor)=Antecedent /(Antecedent+consequent)

=8/(8+3)

=8/11

=0.7272

or 72.72 %

The probability if winning $3 is about 0.7272 or 72.72 %

college

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1