Question 215725
What is the sum of the probabilities of all the outcomes in a sample space?


The answer is 1.  


For example, a coin has two possible outcomes:  heads or tails.


Probability of heads is 1/2 and probability of tails is 1/2 for one toss.  1/2+1/2=1.


Another example: consider six-headed die where each face has a probability of 1/6 for a single toss.  But all the outcomes is added to 1 since its sum is 6*(1/6)=1.


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J