Sample Space Dice

When you roll a 6 sided dice number of dots on uppermost face is called as outcome.

Sample space dice. Which is actually a set of all the possible outcomes as the definition of sample space specifies. For example if you roll a dice 6 things could happen. The sample space for a dice is 1 2 3 4 5 6. The above six faced die has the numbers 1 2 3 4 5 6 on its faces.

In the case of a single toss the sample space has two elements that interchangeably may be denoted as say head tail or h t or 0 1. As per statistical definition of sample space there are 6 3 216 total possible outcomes generally listed as an ordered triplet d1 d2 d3 where all 3 of d1 d2 d3 are natural numbers that can take values 1 2 3 4 5 or 6. For the experiment of rolling n six sided dice where n is a positive whole number the sample space consists of 6 n elements. Probability for rolling two dice with the six sided dots such as 1 2 3 4 5 and 6 dots in each die.

The sample space for rolling a dice is shown below. When two dice are thrown simultaneously thus number of event can be 6 2 36 because each die has 1 to 6 number on its faces. Then the possible outcomes are shown in the below table. When a die is rolled once the sample space is.

Sample space when 2 dice are rolled look at the six faced die which is given below. There are 36 events in the sample space for rolling two 6 sided dice. You could roll a 1 2 3 4 5 or 6. In the example below we are asked what is the probability of rolling a 1.

Your second option is correct 2 and 12 each 1 possible way 3 and 11 two possible ways 4 and 10 3 possible ways 5 and 9 three possible ways 6 and 8 4 possible ways 7 6 possible ways. Rolling a die. Total 36 events 197 views. These are what we call random phenomena or random experiments.

Now whenever a dice is rolled we can get either 1 2 3 4 5 or 6 dots on the upper most face that is now outcome. Sample space events and probability sample space and events there are lots of phenomena in nature like tossing a coin or tossing a die whose outcomes cannot be predicted with certainty in advance but the set of all the possible outcomes is known. For the experiment of rolling three six sided dice the sample space consists of the set of the 216 possible triples of the numbers 1 2 3 4 5 and 6. Sample space is all the possible outcomes of an event.