Math probability question?
the faces of an 8 sided die are numbered from 1 to 8, what is the probability of rolling a 5 three times in ten rolls?
- PuzzlingLv 73 years agoFavorite Answer
Use the binomial probability formula.
P(X = k) = C(n,k) * p^k * q^(n-k)
n : number of trials (10)
k : number of successes (3)
p : probability of success (1/8)
q : probability of failure (1-p = 7/8)
P(X = 3) = C(10,3) * (1/8)^3 * (7/8)^7
= 12,353,145 / 268,435,456
- Anonymous3 years ago
- Randy PLv 73 years ago
The probability that an event with probability p occurs k times in n trials is given by the binomial distribution.
P(k) = C(n,k) p^k (1 - p)^(n - k)
This is in your textbook.