Mathematics

  In mathematics, a transformation refers to a process or operation that changes the position, size, shape, or other properties of geometric objects. Transformations are commonly studied in the context of geometry and linear algebra. There are various types of transformations, including translations, rotations, reflections, and dilations. Let's explore these concepts and provide examples of how transformations are used in real life: Types of Transformations: Translation: Definition: A translation shifts an object without changing its shape or orientation. Real-life Example: Moving a map on a screen to view different regions without changing the size or details of the map. Rotation: Definition: A rotation turns an object around a fixed point. Real-life Example: Turning the steering wheel of a car to change the direction of travel. Reflection: Definition: A reflection flips an object over a line, creating a mirror image. Real-life Example: Looking at your reflection in a mirror

  Here are 30 terms used in probability, along with explained examples and sample calculations, along with real-life examples where applicable: Experiment: Definition: A process or procedure that leads to the observation of an outcome. Example: Flipping a coin. Outcome: Definition: The result of a single trial of an experiment. Example: Getting Heads when flipping a coin. Sample Space: Definition: The set of all possible outcomes of an experiment. Example: For a six-sided die, the sample space is {1, 2, 3, 4, 5, 6}. Event: Definition: A subset of the sample space, or a specific outcome or a combination of outcomes. Example: Rolling an even number on a six-sided die. Probability: Definition: The likelihood of an event occurring, expressed as a number between 0 and 1. Example: The probability of rolling a 4 on a six-sided die is \frac{1}{6} 6 1 ​ . Complement of an Event: Definition: The set of all outcomes not in the event. Example: The complement of rolling a 4 on a six-sided die is ro