Question

Write the sample space for selecting two
balls from a bag containing 6 balls numbered
1 to 6 (using ).
​tree diagram​

Answer 1

Sample space = { (1 , 2)  , (1 , 3)  , ( 1 , 4) , ( 1, 5)  , ( 1, 6) , (2 , 3) , (2 , 4) , ( 2, 5 ) , (2 , 6) , (3 , 4) , ( 3 , 5) , ( 3, 6) , (4 , 5) , ( 4 , 6) , (5 , 6) } for selecting two balls from a bag containing 6 balls numbered 1 to 6

Step-by-step explanation:

Number of possible selections = ⁶C₂ = 6* 5/2 = 15

(1 , 2)  , (1 , 3)  , ( 1 , 4) , ( 1, 5)  , ( 1, 6)

(2 , 3) , (2 , 4) , ( 2, 5 ) , (2 , 6)

(3 , 4) , ( 3 , 5) , ( 3, 6)

(4 , 5) , ( 4 , 6)

(5 , 6)

Sample space = { (1 , 2)  , (1 , 3)  , ( 1 , 4) , ( 1, 5)  , ( 1, 6) , (2 , 3) , (2 , 4) , ( 2, 5 ) , (2 , 6) , (3 , 4) , ( 3 , 5) , ( 3, 6) , (4 , 5) , ( 4 , 6) , (5 , 6) }

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