Question

If two dice are rolled simultaneously, find the probability of the event. The sum of the digits on the upper faces is 33.

Answer 1

when two dice are rolled together then maximum sum of the numbers appearing on the upper face can be 12 it cannot exceed 12 so in the question is asking for the sum to be 33 which here can be considered as an impossible event and we know that the probability of an impossible event is zero so the answer is ......
PROBABILITY ( getting sum of the digits on upper face 33) = 0

Answer 2

Solution :

If the two dice rolled simultaneously,

the possible outcomes are ,

(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)

Total number of outcomes = 36--(1)

Sum of the digits on the upper

Faces is 33 = 0 ---(2)

Probability of the event

= ( 2 )/(1)

= 0/36

= 0 [ impossible event ]

••••