if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3

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if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3

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Answer 1

Answer #1

If F and E are independent events then P(E and F) = 0
and we also know
P(E or F) = P(E) + P(F) - P(E and F)
.3 = .2 + P(F) - 0
P(F) = .1

answered by: caty

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Answer 2

Answer #2

Let P(F)= X
since E and F are independent eveents,
P(EnF)= P(E)* P(F)
therefore, P(EnF)= 0.2X
but P(EuF)=P(E)+ P(F)- P(EnF)
0.3= 0.2 + x - 0.2x
x = 1/8

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Answer 3

Answer #3

sorry, i made a mistake, for mutually exculsive events, P(EnF)= 0, hence,
from the previous equation,
0.3=0.2+P(F)-0
so P(F)= 0.1

answered by: Lecia

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Answer 4

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