magine we have a hash table with the following backing array, where $?$ denotes that a given cell contains an element $($regardless of what that element actually is$)$:

$0$

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$?$

$?$

$?$

$0$

$?$

$$

$1$

$$

$2$

$?$

$$

$3$

$$

$4$

$$

$5$

$$

$6$

$$

$7$

$$

$8$

$?$

$$

$9$

$$

What is the probability that the next $3$ insertions will not cause any collisions?