# Events Probabilities

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If E and F are events with P ( E U F ) = 5/8, P (E ∩ F = 1/3, and P (E) = ½,

Find:

(a) P(E) (E has a straight line over it)

(b) P (F)

(c) P (F) (F has a straight line over it)

detail each answer:

(a) ½ (b) 11/24 (c) 13/24

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##### Solution Summary

The event probabilities for straight lines are examined.

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The line over the letter means "NOT" and I use the ! symbol as in:

!E = NOT E

(a)

P(E)=1/2 means that the probability of event E is 1/2.

So what is the probability of "not E?"

The probability of "(E) OR (NOT E)" is 1

(the ...

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