Question 18 (4 points)
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Use the sample space below to answer each question.
Second Die
1
2
3
4
5
6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
First Die
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
An experiment consists of rolling two fair dice and
adding the dots on the two sides facing up.
Assuming each simple event is as likely as any other,
find the probability that....
a) the sum of the dots is less than 10 (Type an integer or
a simplified fraction.)
b) the sum is divisible by 6. (Type an integer or a
simplified fraction.)
