How can I calculate the following probability:
Throwing a die 6 times, what is the probability of having face no. 1 showing at least one time.
[Math] dice throwing probability. Get face 1 at least one time by throwing a die 6 times.
diceprobability
diceprobability
How can I calculate the following probability:
Throwing a die 6 times, what is the probability of having face no. 1 showing at least one time.
Best Answer
Consider the probability of having no 1 appear in each roll, which is $5/6$. Since the outcomes of each roll are independent, the probability of having no 1 appear in six rolls is $(5/6)^6$. Thus the probability of having a 1 appear at least once is $1-(5/6)^6=\frac{31031}{46656}$.