the probability that an event will not happen is $p(e) = 0.73$. find the probability that the event will happen.

the probability that the event will happen is
(simplify your answer.)

Question

the probability that an event will not happen is $p(e) = 0.73$. find the probability that the event will happen.

the probability that the event will happen is
(simplify your answer.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Complementary Events" ], "new_concepts": [], "current_concepts": [ "Complementary Events", "Probability Axioms" ] } ## Identify the given probability Using the *Complementary Events* knowledge point $$ P(E') = 0.73 $$ ## Apply the complement rule Using the *Complementary Events* knowledge point $$ \begin{aligned} P(E) &= 1 - P(E') \ P(E) &= 1 - 0.73 \ P(E) &= 0.27 \end{aligned} $$ The probability that the event will happen is 0.27 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Complementary Events" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given probability

Apply the complement rule

Answer: