Podcast
Questions and Answers
What value does the probability range from?
What value does the probability range from?
In a fair coin toss, what is the probability of getting heads or tails?
In a fair coin toss, what is the probability of getting heads or tails?
For a standard die numbered from 1 to 6, what is the probability of rolling a 3?
For a standard die numbered from 1 to 6, what is the probability of rolling a 3?
What do results of trials become closer to as more trials are conducted?
What do results of trials become closer to as more trials are conducted?
Signup and view all the answers
How should the sum of probabilities for all possible outcomes of a trial total?
How should the sum of probabilities for all possible outcomes of a trial total?
Signup and view all the answers
How is the probability of an event calculated?
How is the probability of an event calculated?
Signup and view all the answers
What must be true about probability values?
What must be true about probability values?
Signup and view all the answers
Study Notes
- Probability is a value that tells us how likely an event is to happen, ranging from 0 (impossible) to 1 (certain).
- In a fair coin toss, the probability of getting heads or tails is 1/2, as each side is equally likely.
- A standard die has 6 sides numbered 1 through 6, with each number having a probability of 1/6 when rolled.
- Trials/experiments involve random outcomes like coin tosses or dice rolls, with results becoming closer to expected probabilities as more trials are conducted.
- The sum of probabilities for all possible outcomes of a trial always equals 1 or 100%.
- Probabilities can be represented as fractions, decimals, or percentages, making it easier to understand likelihood.
- The probability of an event is calculated by the number of desired outcomes over the total number of possible outcomes.- Probability of pulling out a white marble is 1/11 or 0.09 or 9%, making it not very likely.
- When adding up all probabilities, the total sum is 11/11 or 100%, as expected.
- Basic probability involves creating a fraction with the desired outcomes as the numerator and the total possibilities as the denominator.
- Probability values must fall between 0 and 1 (or 100%).
- Conducting more trials or experiments brings results closer to the expected probabilities.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Learn about basic probability concepts such as fair coin tosses, standard die rolls, calculating probabilities, and conducting trials/experiments to understand likelihood. Explore how probabilities are represented as fractions, decimals, and percentages, and how the sum of all probabilities equals 1 or 100%.