How to distinguish trial and experiment?

Question

How to distinguish trial and experiment in probability? I have checked Ross's definition and wikipedia's intro on the definition of them for a while, but not quite get it till now. What is the difference of them? And when it comes to Bernoulli trail or Bernoulli experiment, do we call Bernoulli trial, or Bernoulli trials, or Bernoulli experiment, or Bernoulli experiments?

Answer 1

Strictly speaking, any particular performance of a random experiment is called a trial.

We know that a random experiment can be repeated under similar conditions. One such specific repetition of the experiment is what is meant by a trial. So if I consider a random experiment of tossing a fair coin twice, then one particular toss will be referred to as a trial.

Answer 2

I am giving my description on the basis of the notes taken during my probability class.

Any particular performance of a random experiment is a trial.

By Experiment or Trial in the subject of probability, we mean a random experiment unless otherwise specified. Each trial results in one or more outcomes.

For example

$1)$ Tossing $4$ coins

$2)$ Picking $3$ balls from a bag containing $10$ balls $4$ of which are red and $6$ blue

$3)$ Rolling a die

Trial vs Experiment

Many times we use the words trials and experiment synonymously. Both trial and experiment mean something that is done in anticipation of a result. However, we sometimes use the two terms together attributing a slightly different sense to the two terms.

Where you are required to differentiate between a trial and an experiment, consider the experiment to be larger entity formed by the combination of a number of trials.

For example,

$1)$In the experiment of tossing $4$ coins, wew may consider tossing each coin as a trail and therefore say that there are $4$ trails in the experiment.

$2)$In the experiment of picking $3$ balls from a bag containing $10$ balls $4$ of which are red and $6$ blue, we can consider picking each ball to be an event and therefore say that there are $3$ trails in the experiment.

Answer 3

Experiment is the some activity whose outcomes are sometimes known to us and sometimes not. For example, "After many experiments Edison was able to invent an electric bulb. This was an experiment in which were not having any idea about what will be the outcome. Experiment in which we know that our outcome will from some possible out comes that are known to us, for example, when we roll a dice, we know that, the outcome will be either from "1,2,3,4,5,6". There will be know outcome other than these six numbers. We call such experiments as random experiments.
Trial- When we repeat a experiment many times, then each of that performed experiment is known as trail.
Use following link for reference-
https://www.cuemath.com/data/terms-of-probability/