Understanding Basic Probability Concepts

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.

Description

Learn about the fundamentals of probability including how to calculate probabilities for different scenarios and interpret them as fractions, decimals, or percentages. Explore topics like coin tosses, dice rolls, and pulling out marbles, and understand how the sum of probabilities always equals 1.