question 4
10 pts
for two independent events a and b the formula is
$p(a \text{ and } b) = p(\text{not } a) \cdot p(b)$
true
false

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Probability of Events" ], "new_concepts": [ "Independent Events Formula" ], "current_concepts": [ "Probability of Events", "Independent Events Formula" ] } ## Recall definition of independent events $$ P(A \text{ and } B) = P(A) \cdot P(B) $$ ## Compare with the given statement $$ P(A \text{ and } B) = P(\text{not } A) \cdot P(B) $$ Since $P(A) eq P(\text{not } A)$ in general, the given formula is incorrect.

True

(B) False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Independent Events Formula" ] }

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Question

Explanation:

Recall definition of independent events

Compare with the given statement

Answer: