Asked by Abigail
My friend and I have been debating back and forth on the answer to this question. I say that it is 1/6, while she says that it is 1/60. So, the question is...
If you are to roll a fair, six sided die ten times, what is the probability that you will roll a one for each roll?
I tried to make a diagram, which is how I got my answer, and my friend multiplied the chance of rolling a one by itself ten times, which is how she got her answer. Who is right, me, her, neither of us?
If you are to roll a fair, six sided die ten times, what is the probability that you will roll a one for each roll?
I tried to make a diagram, which is how I got my answer, and my friend multiplied the chance of rolling a one by itself ten times, which is how she got her answer. Who is right, me, her, neither of us?
Answers
Answered by
Reiny
Prob(a one) = 1/6
prob(a one) twice = (1/6)(1/6) = (1/6)^2
..
prob(a one) ten times = (1/6)^10
= 1/60466176
= appr .000000016
These are independent events, that is, the die has no memory of what happened before, so each roll is a new event
e.g. suppose we flip a coin 3 times.
What is the prob of Tails, three times in a row.
According to my argument it is (1/2)^3 = 1/8
list them:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
There are 8 , only one is 3 tails
so 1/8
prob(a one) twice = (1/6)(1/6) = (1/6)^2
..
prob(a one) ten times = (1/6)^10
= 1/60466176
= appr .000000016
These are independent events, that is, the die has no memory of what happened before, so each roll is a new event
e.g. suppose we flip a coin 3 times.
What is the prob of Tails, three times in a row.
According to my argument it is (1/2)^3 = 1/8
list them:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
There are 8 , only one is 3 tails
so 1/8
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.