the probability of an event a not occurring can be found by which of the following formulas?

$p(\text{not } a) = 1 + p(a)$
$p(\text{not } a) = 1 - p(a)$
$p(\text{not } a) = p(a) - 1$
$p(\text{not } a) = p(a)$

Question

the probability of an event a not occurring can be found by which of the following formulas?

$p(\text{not } a) = 1 + p(a)$
$p(\text{not } a) = 1 - p(a)$
$p(\text{not } a) = p(a) - 1$
$p(\text{not } a) = p(a)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complementary Probability" ], "new_concepts": [], "current_concepts": [ "Complementary Probability", "Probability Axioms" ] } ## Identify the probability of the complement $$ P(A) + P(\text{not } A) = 1 $$ ## Solve for the probability of event A not occurring $$ P(\text{not } A) = 1 - P(A) $$

P(not A) = 1+ P(A)

P(not A) = 1 - P(A)

P(not A) = P(A) - 1

P(not A) = P(A)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Complementary Probability" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the probability of the complement

Solve for the probability of event A not occurring

Answer: