A and B are two independent events such that P(A)=X and P(AUB)=Y, Y>X. Show that:

P(B)=(Y-X)/(1-X)

I don't know how to do this - could some one help me please?

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- September 18th 2010, 06:28 PMjuliakprobability problem 2
A and B are two independent events such that P(A)=X and P(AUB)=Y, Y>X. Show that:

P(B)=(Y-X)/(1-X)

I don't know how to do this - could some one help me please? - September 18th 2010, 06:59 PMSoroban
Hello, juliak!

Quote:

. .

We know this formula: . .[1]

We are given: .

Since and are independent: .

Substitute into [1]: .

Then we have: .

. . . . . Factor: . . .

. . .Therefore: . . . . . . . . .