Sample Space Dice

A dice contains six sides which each have an equal chance of occurring when the dice is rolled.

Sample space dice. Which is actually a set of all the possible outcomes as the definition of sample space specifies. 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. When you roll a 6 sided dice number of dots on uppermost face is called as outcome.

Total 36 events 197 views. 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. Sample space when 2 dice are rolled look at the six faced die which is given below.

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. 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 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. 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. For the experiment of rolling n six sided dice where n is a positive whole number the sample space consists of 6 n elements. 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.

Rolling a die. The above six faced die has the numbers 1 2 3 4 5 6 on its faces. In the example below we are asked what is the probability of rolling a 1.