8 Questions
What is the probability of a fair coin landing on heads?
1/2
What is the probability of rolling a 6 on a fair six-sided dice?
1/6
What is the total sum of all probabilities for a single trial?
1
How can probabilities be expressed?
As fractions, decimals, or percentages
What is the probability of pulling out a white marble from a bag containing 11 marbles?
1/11
What is the purpose of conducting multiple trials or experiments?
To approach the expected probabilities more accurately
What is the relationship between the numerator and denominator when calculating probabilities?
The numerator is the number of favorable outcomes, and the denominator is the total possible outcomes.
What is the range of valid probability values?
0 to 1
Study Notes
- Probability is the likelihood of an event happening, ranging from 0 (impossible) to 1 (certain).
- In real-world scenarios like coin tosses and dice rolls, probabilities help understand the chances of different outcomes.
- A fair coin toss has a probability of 1/2 for heads and 1/2 for tails, as both outcomes are equally likely.
- Dice rolls involve more possibilities, with each number having a probability of 1/6 or approximately 16.7%.
- Conducting multiple trials helps in approaching the expected probabilities more accurately.
- The sum of probabilities for all possible outcomes in a trial always equals 1 or 100%.
- Calculating probabilities involves creating a fraction with the number of favorable outcomes as the numerator and the total possible outcomes as the denominator.
- Probabilities can be expressed as fractions, decimals, or percentages, offering different ways to interpret likelihoods.- Probability of pulling out a white marble is 1/11 or 0.09 or 9% which is considered 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 leads to results closer to the expected probabilities.
Learn about the fundamentals of probability, including the likelihood of events and calculating probabilities for different scenarios like coin tosses, dice rolls, and drawing marbles.
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