GRE Exam > GRE Videos > Mathematics for GRE Paper II > Important Terms: Sample Space Sample Points and Events
Important Terms: Sample Space Sample Points and Events Video Lecture | Mathematics for GRE Paper II
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FAQs on Important Terms: Sample Space Sample Points and Events Video Lecture - Mathematics for GRE Paper II
| 1. What is a sample space in probability theory? |  |
A sample space refers to the set of all possible outcomes of a random experiment or a probability experiment. It is denoted by the symbol "S" and contains every possible outcome that can occur.
| 2. How are sample points related to a sample space? | |
Sample points are individual outcomes within a sample space. They represent the specific results or events that can occur in a given experiment. Each sample point is a unique element of the sample space.
| 3. Can you provide an example of a sample space and its sample points? | |
Sure! Let's consider the experiment of flipping a fair coin. The sample space for this experiment would be S = {H, T}, where H represents heads and T represents tails. The sample points within this sample space would be the individual outcomes of getting either heads or tails.
| 4. What are events in probability theory? | |
In probability theory, events are subsets of a sample space. They represent specific combinations or collections of sample points. An event can consist of a single sample point (simple event) or multiple sample points (compound event).
| 5. How are events and sample points related? | |
Events are formed by combining sample points based on certain criteria or conditions. Each event consists of one or more sample points. In simpler terms, events are made up of the possible outcomes (sample points) that satisfy a particular condition or set of conditions.
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Dec 23, 2024 Last updated |
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