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If A, B are...

Question

If $A, B$ are subsets of a sample space $S$ , then

A \subseteq B \Leftrightarrow P (A) = P (B)

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P (A) \geq P (B) \Rightarrow A \subset B

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A \subset B \Rightarrow P (A) \leq P (B)

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A \subset B \Rightarrow P (A) \geq P (B)

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Solution

The correct option is B $A \subset B \Rightarrow P (A) \leq P (B)$
$A \subset B \Rightarrow P (A) \leq P (B)$

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Similar questions

P (A / B) > P (A)

P (B / A) > P (B)

P (A / B) = \frac{P (A \cap B)}{P (B)}

P (A / B) = P (B / A)

P (A) = P (B)

(A \cap B) \neq ϕ

P (A / B) = \frac{P (A \cap B)}{P (B)}

P (B / A) = \frac{P (A \cap B)}{P (A)}

(i) P (A) = \frac{1}{3}, P (B) = \frac{1}{4} and P (A \cup B) = \frac{5}{12}, then find P (A | B) and P (B | A) . (ii) P (A) = \frac{6}{11}, P (B) = \frac{5}{11} and P (A \cup B) = \frac{7}{11}, then find P (A \cap B), P (A | B) and P (B | A) . (iii) P (A) = \frac{7}{13}, P (B) = \frac{9}{13} and P (A \cap B) = \frac{4}{13}, then find P (A | B) . (iv) P (A) = \frac{1}{2}, P (B) = \frac{1}{3} and P (A \cap B) = \frac{1}{4}, then find P (A | B), P (B | A), P (A | B) and P (A | B) .

A

(A)

(B)

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