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If P(A)= 2/5 P(B)=1/5 find P(AUB) if A & B are independent events.

give the answer as soon as possible

Question

If P(A)= 2/5 P(B)=1/5 find P(AUB) if A & B are independent events.

give the answer as soon as possible

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Mathematics
4 months
2021-07-18T22:06:27+00:00
2021-07-18T22:06:27+00:00 1 Answers
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## Answers ( )

Answer:Answer

P(A)=1/2,P(B)=p

P(AUB)=3/5

i) Mutually exclusive P(A∩B)=0

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-0

p=1/10

ii)Independent events P(A∩B)=P(A)*P(B)=p/2

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-p/2

p=1/5

Step-by-step explanation:Answer

P(A)=1/2,P(B)=p

P(AUB)=3/5

i) Mutually exclusive P(A∩B)=0

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-0

p=1/10

ii)Independent events P(A∩B)=P(A)*P(B)=p/2

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-p/2

p=1/5