Given that E and F are events such that P E - 0-6 - P F - 0-3 and P E - F - 0-2 - find P E - F and P F - E

F(E ∩ F)=0.2, P(F)=0.3 ∴ P(E|F)=P(E ∩ F)P(F)=.2.3=23 P(F|E)=E(E ∩ F)P(E)=.2.626=13 ...

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Intersection of Sets

Given that ...

Question

Given that $E$ and $F$ are events such that $P (E) = 0.6, P (F) = 0.3$ and $P (E \cap F) = 0.2,$ find $P (E | F)$ and $P (F | E)$

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E

F

P (E) = 0.6, P (F) = 0.3

P (E \cap F) = 0.2

6 P (F | E)

E

F

P (E) = 0.6, P (F) = 0.3

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P (E / F)

P (F / E)

Given that E and F are events such that P (E) = 0.6 P (F) = 0.3 and
P $(E \cap F) = 0.2, f i n d (\frac{E}{F}) a n d P (\frac{F}{E}) .$

P (E) = \frac{1}{4}, P (F) = \frac{1}{2}

P (E \cap F) = \frac{1}{8}

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

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