Probability

Question

Comments

I am getting 0.3

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The answer should be 0.05.

Answer 1

I am renaming the variables for convenience.

We have,

$P(A) = 0.5 \, ,P(B) = 0.3 \, , \overline{P(A)\cup(B)} = 0.25$,

We know, $P(A\cup B) = P(A) + P(B) - P(A  \,\cap B)$,

giving $P(A  \,\cap B) = 0.05$