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Hi, I have a doubt
What about cases where the result after rolling the die is 311, 232, 553 etc.? why have we not separated similar and dissimilar cases?

Shouldnt the similar cases be multiplied by 3!/2! and dissimilar cases be multiplied by 3!?
KarishmaB


Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216

To get exactly one 3, there are three ways:
A 3 on the first roll and non 3 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 3 could be on the second or third roll too. So total favorable cases = 25*3 = 75

Required Probability = 75/216 = 25/72

Answer (C)
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Bravado29
Hi, I have a doubt
What about cases where the result after rolling the die is 311, 232, 553 etc.? why have we not separated similar and dissimilar cases?

Shouldnt the similar cases be multiplied by 3!/2! and dissimilar cases be multiplied by 3!?


Those cases are already included.

When we say the other two rolls are “non-3,” they can be the same or different. So cases such as 311, 232, and 553 are all already counted in the 5 * 5 part. There is no need to separate similar and dissimilar cases here.
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