Given are 9 cards out of which 3 are Hearts, 3 are Clubs, 3 are Diamonds.
It says to draw 2 cards out of 9 cards, so Sample selection would be 9C2.
Favourable outcome is 2 heart cards, so Favourable selection would be 3C2.
Now the probability would be Favourable selection over Sample selection.
[tex]probability = \frac{3c2}{9c2 } = \frac{ \frac{3 \times 2}{2 \times 1} }{ \frac{9 \times 8}{2 \times 1} } = \frac{3 \times 2}{9 \times 8} = \frac{1}{12} [/tex]
Hence, option D i.e. 1/12 is the final answer.
