Joint Probability
In this lesson, you will learn about joint probability with the help of some examples.
Random variable
A random variable is a function that assigns a real number to each value in the sample space. This is produced as a result of a random experiment like tossing a coin or throwing a dice.
Example 1
When we flip a coin twice, there are four possible outcomes: both heads, heads and tails, tails and heads, or both tails. The value of x below represents the number of heads from each outcome of these four outcomes.:
| Sample Space | x |
|---|---|
| HH | 2 |
| HT | 1 |
| TH | 1 |
| TT | 0 |
Example 2
Random variable Y represents the number of times we roll “5” when rolling a six-sided dice six times. Therefore, the possible values of this random variable Y, can be anything from 0 (we never roll “5”) to6 (we roll “5” every time).
Joint probability
This refers to the Probability ...