find the indicated probability.

if $p(a \text{ and } b) = 0.4$, $p(a) = 0.7$, and $p(b) = 0.6$, find $p(a \text{ or } b)$.

$p(a \text{ or } b) = $
(simplify your answer. type an integer or a decimal.)

Question

find the indicated probability.

if $p(a \text{ and } b) = 0.4$, $p(a) = 0.7$, and $p(b) = 0.6$, find $p(a \text{ or } b)$.

$p(a \text{ or } b) = $
(simplify your answer. type an integer or a decimal.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Addition Rule for Probability" ], "new_concepts": [], "current_concepts": [ "Addition Rule for Probability" ] } ## State the given probabilities $$ \begin{aligned} P(A) &= 0.7 \ P(B) &= 0.6 \ P(A \text{ and } B) &= 0.4 \end{aligned} $$ ## Apply the addition rule for probability $$ \begin{aligned} P(A \text{ or } B) &= P(A) + P(B) - P(A \text{ and } B) \ P(A \text{ or } B) &= 0.7 + 0.6 - 0.4 \end{aligned} $$ ## Calculate the final probability $$ P(A \text{ or } B) = 0.9 $$ If $P(A \text{ and } B) = 0.4$, $P(A) = 0.7$, and $P(B) = 0.6$, find $P(A \text{ or } B)$. $P(A \text{ or } B) =$ 0.9 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Addition Rule for Probability" ] }

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QUESTION IMAGE

Question

Explanation:

State the given probabilities

Apply the addition rule for probability

Calculate the final probability

Answer: