Consider the following. (a) Explain why −0.41 cannot be the probability of some event. A probability must be between zero and one. A probability must be greater than one. A probability must be an integer.

A probability must be between zero and one

Step-by-step explanation:

We are to explain why −0.41 cannot be the probability of some event.

Probability is the chance of occurring a particular event out of total possible events.

If total possible events are n, and number of favourable outcomes for any event A is x then probability is x/n.

Here note that both x and n cannot be negative.

also x cannot exceed n.

Probability can never exceed 1 and also can never be an integer except 0 or 1 as special cases.

So the probability can never be negative and cannot exceed 1.

So correct answer is

A probability must be between zero and one

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice