JEE Main 2003Annual, Paper 1MathematicsHardStatistics and Probability258× since 2002Events A,B,CA, B, CA,B,C are mutually exclusive events such that P(A)=3x+13,P\left( A \right) = {{3x + 1} \over 3},P(A)=33x+1, P(B)=1−x4P\left( B \right) = {{1 - x} \over 4}P(B)=41−x and P(C)=1−2x2P\left( C \right) = {{1 - 2x} \over 2}P(C)=21−2x The set of possible values of xxx are in the interval.AOption A. [0,1]\left[ {0,1} \right][0,1]BOption B. [13,12]\left[ {{1 \over 3},{1 \over 2}} \right][31,21]COption C. [13,23]\left[ {{1 \over 3},{2 \over 3}} \right][31,32]DOption D. [1 3,133]\left[ {{1 \ 3},{13 \over 3}} \right][1 3,313]CheckSkip · show solution
