Excel - Extract a List Based on a Condition

I am having some trouble extracting a unique list from an Excel table based on a condition.

Basically, the table looks like this (Table is in A1:B11):

Name     Count
Person1  10
Person2  2
Person3  3
Person4  1
Person5  1
Person6  18
Person7  1
Person8  5
Person9  7
Person10 2

I want to be able to extract the people out of this table that have Counts > 1 and have a new table that looks like this:

Name     Count
Person1  10
Person2  2
Person3  3
Person6  18
Person8  5
Person9  7
Person10 2

I have been trying to use index and match, but it has not been working out exactly the way I want. Can someone help point me in the right direction?