Find the odds for and the odds against the event rolling a fair die and getting a 1, a 6, a 5, or a 4

2/6 or 2 against 6.

Step-by-step explanation:

A fair die has a total of 6 outcomes.

We want to find the odds against the event of rolling the values (1, 6, 5, 4)

So this is equal to the odds in favour of the event of rolling a 2 or a 3.

This means that out of 6 possible values, we only have 2 acceptable ones.

Then the odds against the event rolling a fair die and getting a 1, a 6, a 5, or a 4 are:

P = 2/6

2 against 6.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: