<PRE><B>Question 300307</B>
Make a table.
Bag 1 Bag 2 Sum
1 1 2
1 2 3
1 3 4
1 4 5
1 5 6
.
.
.
5 1 6
5 2 7
5 3 8
5 4 9
5 5 10
5 6 11
i) Then count the total number of outcomes. 
There are 30 in all (5x6).
Then count the times that the ball from Bag 1 is the same as Bag 2.
There are 5 of those (1-1,2-2,3-3,4-4,5-5).
So the probability of two balls identical is
P=5/30=1/6
ii) Count the number of sums that equal 9. 
There are 3 outcomes (3-6,4-5,5-4).
There are 30 total outcomes.
P=3/30=1/10</PRE>