What is Probability?
Define probability.
Probability is the measure of how likely an event is to occur.
What does "certain" mean in probability?
"Certain" means the event is guaranteed to happen, with a probability of 1.
What are the three ways to express probability?
As a fraction, a decimal, or a percentage.
What is the numerator of a fraction?
The numerator is the top number in a fraction, representing the number of favorable outcomes
What is theoretical probability?
Theoretical probability is the likelihood of an event occurring based on all possible outcomes, assuming ideal conditions.
What is the range of values for probability?
The range is from 0 (impossible) to 1 (certain).
What is an "impossible" event mean?
"Impossible" means the event cannot happen, with a probability of 0.
What information do you need to calculate probability as a fraction?
What is the denominator of a fraction?
The denominator is the bottom number in a fraction, representing the total number of possible outcomes.
How is experimental probability different from theoretical probability?
Experimental probability is based on actual outcomes from trials, while theoretical probability is based on expected outcomes in an ideal situation.
Why is probability useful?
Probability helps us make predictions, assess risks, and make informed decisions in uncertain situations.
What does "equally likely" mean?
"Equally likely" means that all outcomes have the same probability of occurring.
How do you label probability on a number line?
Place 0 at the far left (impossible), 1 at the far right (certain), and evenly distribute probabilities like 1/4, 2/4, and 3/4 between them.
Where does the total number go?
The total number goes in the denominator of the fraction.
Give an example of theoretical probability.
Theoretical probability of rolling a 4 on a standard die is 1/6 since there are 6 sides, each equally likely.
Give a real-life example of probability.
Examples: Flipping a coin and predicting heads or tails; calculating the chance of rain using weather forecasts.
Explain "theoretical probability."
Theoretical probability is the likelihood of an event based on all possible outcomes, assuming each outcome is equally likely.
Express this probability in fractions: A spinner has 4 equal sections, and you want to land on red (one section is red).
1/4
If there are 10 gumballs in a machine: 5 red, 3 blue, and 2 purple, what fraction represents the probability of getting a blue gumball?
3/10.
Is theoretical probability always accurate? Why or why not?
No.