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Let A and B be events with P(A) = 0.61 and P(A ∩ B) = 0.39. For what value of P(B) will A and B be independent?

Respuesta :

MrRoyal

Answer:

[tex]P(B) = 0.64[/tex]

Explanation:

Given

[tex]P(A) = 0.61[/tex]

[tex]P(A\ n\ B) = 0.39[/tex]

Required

Determine P(B)

If A and B are independent, then:

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

Substitute values for P(A) and P(A n B)

[tex]0.39 = 0.61 * P(B)[/tex]

Make P(B) the subject

[tex]P(B) = \frac{0.39}{0.61}[/tex]

[tex]P(B) = 0.64[/tex] --- approximated

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