A family of 6 children under 12, their parents, and 4 grandparents had tamales for dinner. The tamales contained undercooked pork, giving adults a 20% chance and children a 30% chance of getting sick. The question asks for the probability that more adults than children get sick from eating the tamales.

1. A family consists of six children all under 12, their parents, and
four grandparents. The family has dinner and everyone in the
family eats the tamales that were served. Unfortunately, the
tamales contained improperly cooked pork with adults having a
20% chance, and children having a 30% chance, of getting sick.
What is the probability that more adults than children get sick?