What does sample space mean

Summary: The sample space of an experiment is the set of all possible outcomes for that experiment. You may have noticed that for each of the experiments above, the sum of the probabilities of each outcome is 1. This is no coincidence. The sum of the probabilities of the distinct outcomes within a sample space is 1.

The sample space for choosing a single card at random from a deck of 52 playing cards is shown below. There are 52 possible outcomes in this sample space. Directions: Read each question below. Select your answer by clicking on its button. If you make a mistake, choose a different button. By signing up, you agree to receive useful information and to our privacy policy. Shop Math Games. Skip to main content. Search form Search. Mia British.

Karen Australian. Hayley Australian. Natasha Australian. Veena Indian. Priya Indian. Neerja Indian. Zira US English. Oliver British. Wendy British. Fred US English. Tessa South African. How to say sample space in sign language? Numerology Chaldean Numerology The numerical value of sample space in Chaldean Numerology is: 8 Pythagorean Numerology The numerical value of sample space in Pythagorean Numerology is: 2.

Select another language:. Please enter your email address: Subscribe. Discuss these sample space definitions with the community: 0 Comments. Did you know that chance behavior is unpredictable in the short run but has a regular, predictable pattern in the long term?

For example, if you flip a coin ten times, the number of heads you get can vary. But if you flip a coin times, the number of heads will be close to All this means is that the more repetitions that occur, the proportion of times that a specific event i. So, for our coin-flipping example, the percentage of heads we would expect to see if we flip the coin times is approximately 0. Additionally, 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.

A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space. And outcomes are observations of the experiment, and they are sometimes referred to as sample points. An event is a subset of a sample space as discussed by Shafer and Zhang.

As previously stated, this can also be represented in the form of a Tree diagram , as illustrated below. Each branch indicates a way of achieving the desired outcome and nicely demonstrates all the possible results clearly. Moreover, we could have illustrated the sample space by using a Venn Diagram as well. The overlap demonstrates the possibility for a single event to occur, such as H2 or T5.

The counting principle, sometimes referred to as the counting rule or multiplication principle, is an easy way to figure out the number of possible outcomes i.