A) 0.60
B) 0.15
C) 0.75
D) 0.65
Correct Answer: C
Solution :
[c] \[P\left( A \right)=0.3\] \[P\left( \mathbf{B} \right)=0.6\] \[P\left( \frac{B}{A} \right)=0.5\] \[\Rightarrow \frac{P(A\cap B)}{P(A)}=0.5\] \[\Rightarrow P(A\cap B)=0.5\times 0.3=0.15\] \[\therefore ~P\left( A\cup B \right)=P\left( A \right)+P\left( B \right)-P\left( A\cap B \right)\] \[=0.3+0.6-0.15=0.9-0.15=0.75\] Hence, option [c] is correct.You need to login to perform this action.
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