the probability that it will rain tomorrow is 0.6.

the probability that there will be a traffic jam tomorrow is 0.5.

the probability that both events will happen is 0.4.

what is the probability that either it will rain or there will be a traffic jam tomorrow?

0.7
0.1.1
0.5
1.0

Question

the probability that it will rain tomorrow is 0.6.

the probability that there will be a traffic jam tomorrow is 0.5.

the probability that both events will happen is 0.4.

what is the probability that either it will rain or there will be a traffic jam tomorrow?

0.7
0.1.1
0.5
1.0

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Addition Rule", "Probability Union" ], "new_concepts": [], "current_concepts": [ "Addition Rule", "Probability Union" ] } ## Define given probabilities $$ \begin{aligned} &P(R) = 0.6\ &P(T) = 0.5\ &P(R \cap T) = 0.4 \end{aligned} $$ ## Apply addition rule for probability union $$ \begin{aligned} P(R \cup T) &= P(R) + P(T) - P(R \cap T)\ P(R \cup T) &= 0.6 + 0.5 - 0.4\ P(R \cup T) &= 0.7 \end{aligned} $$

(A) 0.7

(B) 1.1

(C) 0.5

(D) 1.0

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Addition Rule" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Define given probabilities

Apply addition rule for probability union

Answer: