Random Experiment
Chapter Name : Probability |
Sub Topic Code : 104_11_16_02_01 |
Topic Name : Random Experiment |
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Sub Topic Name : Outcomes And Sample Space |
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Introduction
When two bulbs are selected from a lot, the possible outcomes are four which can be counted as: (i) both bulbs are defective (ii) first is defective and second is good (iii) first is good and second is defective (iv) both are good. These all possible outcomes are termed as sample space.
Pre-Requisites:
Idea about numbers, permutations and combinations, statistics and probability.
Real Life Question:
On a single throw of a dice, what are the numbers that can appear on the top?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Sample Space | A complete list of all possible outcomes of a random experiment is called sample space or possibility space and is denoted by S. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Coin | Toss a coin and write the sample space for it. |
| Dice | Roll a dice and write all possible numbers that can appear on top. |
Real life uses :
Probabilities is used to control the flow of traffic through a highway system, a telephone interchange, or a computer processor; find the genetic makeup of individuals or populations; figure out the energy states of subatomic particles; Estimate the spread of rumors; and predict the rate of return in risky investments.
Practical examples around us
| Examples | Explainations |
|---|---|
| Weather forecasting | Meteorologists use probability based on the data collected over the year to forecast the weather. The data collected over the years is the sample space. |
What you learn in Theory:
What is the sample space?
What you learn in Practice:
How to write the sample space for an event.