How many elements are there in the sample space
of rolling of two unbiased dice?
36
24
18.
9
Answers
Answer:
i think 36
Step-by-step explanation:
Rolling two six-sided dice:each die has 6 equally likely outcomes, so the sample space is 6•6 or 36 equally likely outcomes.
Given : sample space of rolling of two unbiased dice
To Find : How many elements are there in the sample space
36
24
18.
9
Solution :
unbiased dice has numbers from 1 to 6
two Dice are rolled hence total output = 6 * 6 = 36
hence n(S) = 36
Numbers of elements in the sample space 36
S = { (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) }
Numbers of elements in the sample space = 36
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