64
The cube has 6 possible outcomes.The coin has 2 possible outcomes.There are 6 x 2 = 12 possible outcomes for a trialthat involves both the cube and the coin.
The probability of tossing 6 heads in 6 dice is 1 in 26, or 1 in 64, or 0.015625. THe probability of doing that at least once in six trials, then, is 6 in 26, or 6 in 64, or 3 in 32, or 0.09375.
Set of all possible outcomes of a random experiments is called sample space. For example: i think it means the number of possibilities. ex. there are 4 colors(red blue yellow green) on a arrow wheel. whats the sample space green,green,green,green green, yellow,green,green, green,green,yellow,green etc. Sample spaces may be finite, countably infinite, or uncountable. By definition, a set A is said to be countable if it is either finite or has the form A = {a1, a2, a3, · · · }. For example, rolling a die is an experiment whose sample space is the finite set {1, 2, 3, 4, 5, 6}. The sample space for the experiment of tossing three (distinguishable) coins is {HHH,HHT,HTH,HTT, THH, THT, TTH, TTT}
The sample space of rolling a die is [1, 2, 3, 4, 5, 6].
If we roll 2 dice simultanosly the sample space consists of 6 rows and 6 col so the answer is 6*6 i.e 36 elements.If we roll 6 dice simultanosly the sample space consists of 36 rows and 36 col so the answer is 36*36 i.e 1296 elements.