Question
Given two independent events A and B such that $\text{P}(\text{A})=0.3,\ \text{P}(\text{B})=0.6.\ \text{Find}$ $\text{P}(\text{A}\ \text{and not}\ \text{B})$

Answer

It is given that $\text{P} (\text{A})=0.3\ \text{and}\ \text{P}(\text{B})=0.6$
Also, A and B are independent events.
P(A and not B) $=\text{P}(\text{A}\cap\text{B}')$
$ =\text{P}(\text{A})-\text{P}(\text{A}\cap\text{B})$
= 0.3 - 0.18
= 0.12

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