Select all of the statements that are axioms of probability.A) The probability of two events occurring is always greater than 0.B) The probability of an event A is the number of outcomes in A divided by the number of outcomes in the sample space.C) The probability of an event is a number that is at least 0 and no more than 1.D) If two events A and B are mutually exclusive (disjoint), then P(A or B)=P(A)+P(B).E) The combined probability of all possible outcomes is equal to 1.

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Answer:All options are trueStep-by-step explanation:Probability of an event:it is defined as the possibility of an event is happening.Mathematical representation:[tex]P(E)=\frac{Number\;of\;favorable\;cases}{Total\;number\;of cases}[/tex]Probability of an event is always greater than or equal to 0 and less than 1 or equal to 1.The sum of  probabilities of all outcomes of an experiment is equal to 1.When two events A and B are disjoint , then [tex]A\cap B=\phi[/tex][tex]P(A\cap B)=0[/tex][tex]P(A\cup B)=P(A)+P(B)-0=P(A)+P(B)[/tex][tex]P(E)+P(E')=1[/tex]Hence, all option are true.
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general 10 months ago 9622