MHB What is the probability that at least 5 was shown for 5 or more times?

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A dice was thrown for 6 times.What is the probability that at least 5 was shown for 5 or more times?
 
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Hi Hasib, welcome to MHB.

What do you make of the event that says at least 5 was shown for 5 or more times?
 
Suppose we throw a die one time, what is the probability that at least a 5 is shown? What is the probability that less than 5 is shown?
 
MarkFL said:
Suppose we throw a die one time, what is the probability that at least a 5 is shown? What is the probability that less than 5 is shown?
2/6 and 4/6 = 1/3 and 2/3
 
Hasib said:
2/6 and 4/6 = 1/3 and 2/3

Okay good, Now we have to consider 6 throws. Let's examine the case where 5 of the 6 throws is at least 5 (5 or 6). That means one throw is less than 5. Suppose we represent this one throw less than 5 with a red cube and the others with identical green cubes and line them up in a row. How many unique arrangements would we have?
 

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