Question

If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast 5 is
A. `(1)/(53)`
B. `(53)/(54)`
C. `(1)/(54)`
D. `(52)/(53)`

Answer 1

Correct Answer - B
If there dice are drawn, then `n (le) = 6^(3) = 216`
Let E the sum of the number on their uppermost faces are less than 5 as follows
(1,1,1), (1,1,2), (1,2,1), (2,1,1)
`:. N(E ) = 4`
Now, probability that the sum of the numbers on their uppermost faces to be atleast 5
`= 1 - P (E_(2)) = 1 - (4)/(216) = 1 - (1)/(54) = (53)/(54)`