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ololo11 [35]
3 years ago
11

If P(A)=3

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

We know that,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

which means

P(A\cap B)=P(A)+P(B)-P(A\cup B)

Now insert the data to get,

P(A\cap B)=\frac{1}{3}+\frac{2}{5}-\frac{3}{5}=\frac{1}{3}-\frac{1}{5}=\frac{5-3}{3\cdot5}=\boxed{\frac{2}{15}}

Hope this helps :)

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