A) \[21/64\]
B) \[7/8\]
C) \[7/32\]
D) \[9/64\]
Correct Answer: A
Solution :
P(A or B but not by C) \[=P(A\cup B)\cap (\overline{C})\] \[=P(A\cup B)\times P(\overline{C})\] \[=P(A)+P(B)-P(A\cap B]\times P(\overline{C})\]= \[\left[ \frac{3}{4}+\frac{1}{2}-\frac{3}{4}\times \frac{1}{2} \right]\times \frac{3}{8}=\left( \frac{6+4-3}{8} \right)\times \frac{3}{8}=\frac{21}{64}\]You need to login to perform this action.
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