Answer :
Answer:
The Probability of strictly increasing or decreasing order is 20/216
Step-by-step explanation:
First Die 1 2 3 4 5 6
Second Die 1 2 3 4 5 6
Third Die 1 2 3 4 5 6
Total number of outcomes= 6*6*6= 216
Possible outcomes of increasing order
1,2,3-----1,2,6 (4)
1,3,4------1,3,6 (3)
1,4,5------1,4,6 (2)
1,5,6 (1)
2,3,4—-2,4,6 (3)
2,4,5—-2,4,6 (2)
2,5,6 (1)
3,4,5—-3,4,6 (2)
3,5,6 (1)
4,5,6 (1)
Total number of possible moves of increasing order= 4+3+2+1+3+2+1+2+1+1= 20
Probability of strictly increasing order is 20/216
Similarly Probability of strictly decreasing order is calculated which is also equal to 20/216