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 |