The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, that is, 3, 6 9,. , 36. You place a "column bet" that wins if any of these numbers comes up. What is your probability of winning?

0.3158

Step-by-step explanation:

As we know the column of numbers on the board contains all multiples of 3, that is, 3, 6 9,. , 36., from 3 to 36 we have: 36/3 =12 values.

The probability of winning is the number of divided by the total possible outcomes:

=> P (multiple of 3) = =  ≈0.3158

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this