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An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its
number, replace the ball, draw a ball again, and observe its number. How many outputs are in the
sample space?
Solution
No. of outputs = 6*6 = 36
They are
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

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  • 1. An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its number, replace the ball, draw a ball again, and observe its number. How many outputs are in the sample space? Solution No. of outputs = 6*6 = 36 They are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)