In: Statistics and Probability
Consider a random experiment of rolling 2 dice. What is
probability of rolling a sum larger than 9? Select the best answer.
  | 
We have here,
Sample space =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)
E= rolling a sum larger than 9 = {(4,6) (5,5) (5,6) (6,4) (6,5) (6,6) }
n(E) = 6
n(S) =36
Therefore,
The probability of rolling a sum larger than 9 =6/36 = 0.1667
| B. 0.1667 |