We will learn how to create tree diagrams and Venn diagrams, identify intersections, unions, and disjoint events, and use the complement rule as they relate to sample spaces and probabilities. Together we will learn to identify sample spaces, events, and sample points, as well as determine the number of outcomes using the counting principle. You will then see an overlay of your sample source. First, set the sample point by holding Alt (Mac: Option) and clicking on an area to sample from. Since A and B do not have any common numbers, we would say that these events are mutually exclusive (disjoint), and the likelihood that A and B can happen simultaneously is zero. When using the Clone Stamp tool, you can use keyboard shortcuts to nudge, scale, or rotate the sample source to better match the size and orientation of the cloning destination. What is the possibility that A and B happen at the same time? Solution So, in our coin-flipping example, the probability space for flipping a coin one time is “Heads or Tails,” and we write this as S = ). An event is a subset of a sample space as discussed by Shafer and Zhang. And outcomes are observations of the experiment, and they are sometimes referred to as sample points. What is the sample space? And what is an event?Ī sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space. Sample Space And EventsĪnd this leads us to sample spaces and events. So, for our coin-flipping example, the percentage of heads we would expect to see if we flip the coin 100 times is approximately 0.5 of 50%.Īdditionally, this means that probability, or the likelihood of something happening, is a number between 0 and 1 and describes the proportion of times that an outcome will occur over many repetitions (i.e., in the long run). But if you flip a coin 100 times, the number of heads will be close to 50.Īll this means is that the more repetitions that occur, the proportion of times that a specific event (i.e., head or tails) will occur approaches a single value.

It’s a fundamental aspect of statistics and that’s what we’re going to discuss in today’s lesson.ĭid you know that chance behavior is unpredictable in the short run but has a regular, predictable pattern in the long term?įor example, if you flip a coin ten times, the number of heads you get can vary. Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)

How to flip a sample