A) \[\left[ 0,1 \right]\]
B) \[\left[ \frac{1}{3},\frac{1}{3} \right]\]
C) \[\left[ -\frac{1}{3},\frac{5}{9} \right]\]
D) \[\left[ -\frac{7}{9},\frac{4}{9} \right]\]
Correct Answer: C
Solution :
Since events A and Bare mutually exclusive \[\therefore \] P(A)+P(B)=1 \[\Rightarrow \]\[\frac{3x+1}{3}+\frac{1-x}{4}=1\]\[\Rightarrow \]\[12x+4+3-3x=12\] \[\Rightarrow \]\[9x=5\]\[\Rightarrow \]\[x=\frac{5}{9}\] \[\therefore \]\[x\in \left[ -\frac{1}{3},\frac{5}{9} \right]\]You need to login to perform this action.
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