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Probability help? Eight standard dice are tossed. What is the probability that you turn up three 5s?
Exactly three 5s
3 Answers
- ?Lv 46 years agoFavorite Answer
The probability that an event x with probability p(x) will occur exactly n times in m trials is called the binomial probability:
P=(mCn)*(p(x)^n)*((1-p(x))^(m-n)) where mCn is the binomial coefficient.
We can treat each dice as a trial, so we have 8 trials and we are looking for exactly 3 outcomes in which the number of the dice is 5. So, plugging in n=3, m=8, p(x)=1/6 we get 56*(1/216)*(3125/7776), which is about 0.1042
- Mike TLv 76 years ago
Exactly 3 fives, or at least 5 fives?
p(success) = (number of successful outcomes) / (total number of outcomes)