jee-advanced 2003 Q10

jee-advanced · India · screening Probability Definitions Finite Equally-Likely Probability Computation

10. Two numbers are selected randomly from the set $S = \{ 1,2,3,4,5,6 \}$ without replacement one by one. The probability that minimum of the two numbers is less than 4 is :
(a) $[ 1 / 15 ]$
(b) $[ 14 / 15 ]$
(c) $[ 1 / 5 ]$
(d) $[ 4 / 5 ]$

If $A = \left[ \begin{array} { l l } \alpha & 0 \\ 1 & 1 \end{array} \right]$ and $B = \left[ \begin{array} { l l } 1 & 0 \\ 5 & 1 \end{array} \right]$ are two matrices, then $A ^ { 2 } = B$ is true for

10. Two numbers are selected randomly from the set $S = \{ 1,2,3,4,5,6 \}$ without replacement one by one. The probability that minimum of the two numbers is less than 4 is :\\
(a) $[ 1 / 15 ]$\\
(b) $[ 14 / 15 ]$\\
(c) $[ 1 / 5 ]$\\
(d) $[ 4 / 5 ]$\\

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