A dice is rolled 3 times, what is the probabilty of getting a no. greater than last no. each time?
Asked by
| 13th Nov, 2009,
01:21: PM
The maximum number that we can get is 6 in the third roll.
Then, the second can have 5, 4, 3, 2.
and for each of these the first roll can have (4,3,2,1), (3,2,1), (2,1), (1).
Hence there are 4+3+2+1 = 10 ways.
Similarly if the third roll gives a number 5 then,
there are 6 ways.
Similarly if the third roll gives a number 4 then,
there are 3 ways.
Similary if the third roll gives a number 3 then there is only one way.
Hence the probability = 20/216 = 5/54.
Regards,
Team,
TopperLearning.
Answered by
| 13th Nov, 2009,
02:35: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change