7 Questions
What value does the probability range from?
0 to 1
In a fair coin toss, what is the probability of getting heads or tails?
1/2
For a standard die numbered from 1 to 6, what is the probability of rolling a 3?
1/6
What do results of trials become closer to as more trials are conducted?
Expected probabilities
How should the sum of probabilities for all possible outcomes of a trial total?
1 or 100%
How is the probability of an event calculated?
Desired outcomes / Total possible outcomes
What must be true about probability values?
They must fall between 0 and 1 (or 100%)
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.
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%.
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