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Mathematics

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Let A and B be two independent events such that P(A) = 0.4 and P(B) = 0.5. What is P(A or B)? Your answer should be given to 4 decimal places.

Answer :

sushila679 sushila679

Today at 6:30 PM

Answer:

[tex]P(A or b)=P(A\cup B) = 0.9000[/tex]

Step-by-step explanation:

given , [tex]P(A)=0.4[/tex] [tex]P(B)=0.5[/tex] , [tex]P(A or B) =P(A\cup B) =?[/tex]

since ,it is an independent event , [tex]P(A and B) = P(A\cap B) =0[/tex]

here , [tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P(A\cup B) = 0.4 + 0.5 - 0[/tex]

[tex]P(A\cup B) = 0.9[/tex]

[tex]P(A or b)=P(A\cup B) = 0.9000[/tex]

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