Question 215725: What is the sum of the probabilities of all the outcomes in a sample space?
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! 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
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