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Question
what is the total probability of all possible outcomes for any event?
a. 1.5
b. 1
c. 50%
d. 100
In probability theory, the sum of probabilities of all possible outcomes of an event must equal 1. This is a fundamental rule. For example, when flipping a coin, the probability of heads is \(P(H)=\frac{1}{2}\) and the probability of tails is \(P(T)=\frac{1}{2}\), and \(P(H)+P(T)=\frac{1}{2}+\frac{1}{2} = 1\). Option a (1.5) is greater than 1 which is not possible as probability values range from 0 to 1. Option c (50% or 0.5) is less than 1. Option d (100, which is not in the 0 - 1 probability range).
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B. 1