Answer
$P(H~and~I)=0$
It is an impossible event.
Work Step by Step
The sample space S = {0, 00, 1, 2, 3, ..., 34, 35, 36}. So, $N(S)=38$
Let H be the event "31" = {31}.
Let I be the event "black slot" = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36}.
The events H and I have no outcomes in common: $N(H~and~I)=0$
$P(H~and~I)=\frac{N(H~and~I)}{N(S)}=\frac{0}{38}=0$
This event never happens. It is an impossible event.
