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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Julia 4 months 2021-07-18T22:06:27+00:00 1 Answers 0 views 0

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    2021-07-18T22:07:50+00:00

    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

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