This is the concept of probability and statistics. We are required to find the probability of obtaining an odd number on the orange cube and a total of five.
Here we shall proceed as follows.
This is mutually independent occurrence.
Probability of selecting an odd number in the orange cube is:
3/6=1/2
The probability of obtaining a sum of 5 when the cubes are tossed will be:
For us to obtain a total of 5 the following combinations must be tossed;
(1,4),(4,1),(2,3),(3,2)
Probability of obtaining (1,4) or (4,1) or (2,3) or (3,2) will be:
1/6*1/6=1/36
Probability of obtaining this number will be:
1/36+1/36+1/36+1/36
=1/9
The probability of getting an odd number in the orange cube and a sum of 5 will be:
P(x)=1/9*1/2=1/18