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Axiomatic Approach

Let Ec deno...

Question

Let $E^{c}$ denote the complement of an event $E$ . Let $E, F, G$ be pairwise independent events with $P (G) > 0$ and $P (E \cap F \cap G) = 0$ . Then $P (E^{c} \cap F^{c} | G)$ equals

A

P (E^{c}) + P (F^{c})

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B

P (E^{c}) - P (F^{c})

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C

P (E^{c}) - P (F)

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D

P (E) - P (F^{c})

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Solution

The correct option is C $P (E^{c}) - P (F)$

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Similar questions

E^{c}

denote the complement of an event Let

E, F, G

be pairwise independent events with

P (G) > 0

P (E \cap F \cap G) = 0

P (E^{c} \cap F^{c} | G)

E^{c}

denotes the complement of an event E. If E, F, G are pairwise independent evens with P(G) > 0 and

P (E \cap F \cap G) = 0.

P (E^{c} \cap F^{c} | G)

E^{C}

denote the complement of an event E. let E, F, G be pair wise independent events with P(G) > 0 and

P (E \cap F \cap G) = 0

P (\frac{E^{C} \cap F^{C})}{G})

E^{e}

denotes the complement of an event

E

E, F, G

are pairwise independent events with

P (G) > 0

P (E \cap F \cap G) = 0

P (E^{e} \cap F^{e} | G)

E, F, G

be pairwise independent events with

P (G) > 0

P (E \cap F \cap G) = 0

P (E^{'} \cap F^{'} | G)

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