Let A - B and C be pairwise independent events with P C - 0 and P A - B - C - 0 Then- P A C - B C - C is equal to

The correct option is A P ( A ^ C ) P ( B ) [ P( A^ C ∩ B^ C / C #160; ) = P( ( A^ C ∩ B^ C ) ∩ C ) #160; / P( C ) #160; ...

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Definition of Sets

Let A , B a...

Question

Let $A, B$ and $C$ be pairwise independent events with $P (C) > 0$ and $P (A \cap B \cap C) = 0$ Then, $P (A^{C} \cap B^{C} / C)$ is equal to

P (A^{C}) - P (B)

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P (A) - P (B^{C})

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P (A^{C}) + P (B^{C})

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P (A^{C}) - P (B^{C})

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Solution

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Similar questions

Let A, B, C can be pairwise independent events with $P (C) > 0$ and $P (A \cap B \cap C) = 0$ .
Then $P (A^{c} \cap B^{c} | C^{c})$ is equal to:

[IIT 1983]

A

B

P (A \cup B) = \frac{1}{2}, P (A \cap B) = \frac{2}{5}

P (A^{c}) + P (B^{c})

A, B, C

P (A \cap B^{C} \cap C^{C}) = \frac{1}{4}, P (A^{C} \cap B \cap C^{C}) = \frac{1}{8}, P (A^{C} \cap B^{C} \cap C^{C}) = \frac{1}{4}

P (A), P (B), P (C)

A

B

P (A \cup B) = 0.65

P (A \cap B) = 0.15

P (A^{c}) + P (B^{c})

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