Let A and B be 2 events such that P(A) = 0.3 and P(A union B bar) = 0.8 If A and B are independent events then P(B) = .........

Let A and B be 2 events such that P(A) = 0.3 and P(A union B bar) = 0.8 If A and B are independent events then P(B) = ......... e everts 0.3 and PtA •oz.

Dear student
There is mistake in question  the correct question will be :
Let Aand Bbe two events  such that PA=0.3 and PAB=0.8If A and B are independent events then PB=...?
Solution:
Given : A and B are two independent events ,PAB=PA PB  ...1We know that,PAB=PA+ PB-PABGiven: PA=0.3 and PAB=0.80.8=0.3+ PB-PAB0.8=0.3+ PB-PA PB   using 10.8=0.3+ PB-0.3 PB0.5=PB1-0.30.5=PB 0.7PB=0.50.7=57
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