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# Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces ( numbered 1 to 6) and let $E_k=\{(a,b) \in S : ab =k\}\;for\; k \leq 1$ . If $p_k=P(F_k)\; for\; k \leq 1$ then the correct, among the following , is

$\begin {array} {1 1} (1)\;P_1 < P_{30} < P_4 < P_6 & \quad (2)\;P_{36} < P_6 < P_2 < P_4 \\ (3)\;P_1 < P_{11} < P_4 < P_6 & \quad (4)\;P_{36} < P_{11} < P_6 < P_4 \end {array}$

$(1)\;P_1 < P_{30} < P_4 < P_6$
edited Jan 20, 2014 by meena.p