Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger...

Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger than 9? Select the best answer.

A. 0.5
B. 0.1667
C. 0.2333
D. None of the above

Solutions

Expert Solution

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

orchestra answered 1 year ago

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