If P(A)=0.5, P(A∪B)=0.8 and P(A∩B)=0.4 then find P(B).
P(B)=

P(B) = 0.7

Step-by-step explanation:

for events that are NOT mutually exclusive,  the following applies:

P(A∪B) = P(A) + P(B) - P(A∩B)

in our case we can see that P(A∩B) is given as non-zero, hence the events are not mutually exclusive and the above formula can be used.

Given:

P(A) = 0.5

P(A∪B) = 0.8

P(A∩B) = 0.4

Substituting these into the above equation

P(A∪B) = P(A) + P(B) - P(A∩B)

0.8 = 0.5 + P(B) - 0.4

0.8 = 0.1 + P(B)   (subtract 0.1 from both sides)

P(B) = 0.8 - 0.1 = 0.7

answer:

idk

step-by-step explanation:

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hope this