Statistics
Study of data collection, analysis, interpretation, and presentation.
Advanced Topics
Probability and Randomness
Exploring Probability
Probability is the study of chance. It helps us predict how likely something is to happen, from rolling dice to forecasting rain!
Calculating Probability
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]
Randomness in Data
In statistics, randomness means outcomes happen by chance and can't be exactly predicted.
Real-World Applications
- Weather forecasts use probability to predict rain.
- Game designers use randomness to make games exciting.
Key Formula
\[P(\text{event}) = \frac{\text{favorable outcomes}}{\text{total outcomes}}\]
Examples
The probability of flipping a coin and getting heads is 0.5.
Predicting the chance of rain tomorrow based on weather data.
In a Nutshell
Probability measures the chance of events happening.