Probability — Class 12 Maths Solution

Option D is correct

When a pair ofdice is rolled once,

the sample space contains $6 \times 6 = 36$ equally
likely simple events

$\therefore$ $S = {\left\{ {\begin{array}{cccccccccccccccccccc}{(1,1)}& \ldots &{(1,6)}\\ \vdots & \ldots & \vdots \\{(6,1)}& \ldots &{(6,6)}\end{array}} \right\}_{6 \times 6 = 36}}$

Let $E$ be the event that even prime number comes on each dice,

then sample points for $E$

is {(2,2)}

$\therefore$ Required probability $P(E) = \cfrac{1}{{36}}$

( is the only favourable outcome)