Answer
0.076
Work Step by Step
For a hand, the order or cards is unimportant.
A (1234567) hand is the same as a (3124567) hand. We deal with combinations and use the combinations expression for the computation.
$P=\frac{\text { no. of hands that suit us }}{\text { total ways to choose a } 7 \text { card hand }} = \frac{{ }_{8} C_{2} \cdot 100 C_{5}}{108 C_{7}}$
Hence, $P = \frac{\frac{8 !}{6 ! 2 !} \cdot \frac{100 !}{95 ! 5 !}}{\frac{108 !}{101 ! 7 !}}=0.076$
(Two cards out of eight possible wildcards.
The other five out of the rest of the deck.
We choose 7 out of a total of 108 cards )
