Math  /  Data & Statistics

Questionstion list uestion 5 uestion 6
Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

Studdy Solution

STEP 1

What is this asking? Which statement about probabilities is actually true? Watch out! Don't mix up probabilities with other mathematical concepts like percentages or proportions.
Probabilities have special rules!

STEP 2

1. Explore Probability Rules
2. Analyze Each Statement

STEP 3

Let's recap what we know about probabilities.
A probability represents the chance of something happening.
It's always a number between **0** and **1**, inclusive.

STEP 4

A probability of 0\textbf{0} means the event is **impossible**, it will *never* happen!
Like rolling a **7** on a standard six-sided die.

STEP 5

A probability of 1\textbf{1} means the event is **certain**, it *will* absolutely happen!
Like flipping a coin and getting either heads or tails (unless it lands on its side, which we'll pretend is impossible!).

STEP 6

Any probability between 0\textbf{0} and 1\textbf{1} represents a possibility somewhere between impossible and certain.
For example, the probability of flipping heads on a fair coin is 12\frac{\textbf{1}}{\textbf{2}} or 0.5\textbf{0.5}.

STEP 7

This is *false*!
We just saw that a probability *can* be **0** if the event is impossible.

STEP 8

This is also *false*!
Probabilities can be any number from **0** to **1**, so they are often less than **1**.

STEP 9

*False* again!
Probabilities can be greater than **0**, all the way up to **1**.

STEP 10

*This is true*!
Probabilities are always between **0** and **1**, so they can never be negative.
You can't have a "negative" chance of something happening!

STEP 11

The correct answer is **D**.
A probability can never be negative.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord