Sample Space of Rolling a Die
When rolling a fair six-sided die, the sample space (S) is the set of all possible outcomes. A six-sided die has six faces, each numbered from 1 to 6.
Sample space of Rolling a Die can be represented as:
S = {1,2,3,4,5,6}
Here, each number in the set represents one possible outcome when rolling the die.
Learn, Rolling A Die
Sample Space of Rolling Two Die
The sample space of rolling two fair six-sided dice is obtained by considering all possible combinations of outcomes from the two dice.
To represent the sample space, you can use an ordered pair (a,b), where a is the outcome of the first die a and b is the outcome of the second die.
Since each die has six faces, the sample space of Rolling Two Die is:
S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
Sample Space of Rolling a Die and Tossing a Coin
Sample Space refers to the set of all possible outcomes of a random experiment or process. When a die is rolled, the total number of elements in the sample space is 6 while when a coin is tossed, there are a total of two possible outcomes.
Let’s learn how to find the Sample Space of Rolling a Die and Tossing a Coin together and separately, with the help of examples.
Table of Content
- Sample Space Definition
- Sample Space of Rolling a Die
- Sample Space of Tossing a Coin
- Sample Space of Rolling a Die and Tossing a Coin Together
- Solved Examples