Question 443055: Empirical Probability:
the sample space is {1,2,3,4,5,6}
*Suppose a person rolls a die 5 times and gets 5 every single time. Suppose the die is rolled a sixth time, what is the probability that another 5 comes up?*
Empirical Probability equation:
P(E)=# of times E occurred/# of times the experiment was performed
(I know that what the sample space is, but I'm just not sure on how to solve for this or which type of probability this is exactly. However, I think it might be a single event: Empirical Probability and my guess in how to set this up was that it was either 5/5=1 or 5/6=83.3% or 6/6=1 or 6/5=1.2 and I have no idea which answer is correct if anyone of these actually are. Therefore, please how me in figuring out which answer is the closest to being correct and show me how to set this up step-by-step and explain to me how and why you got the answer that you did. Thank you and I really appreciate this too.)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Empirical Probability:
the sample space is {1,2,3,4,5,6}
*Suppose a person rolls a die 5 times and gets 5 every single time. Suppose the die is rolled a sixth time, what is the probability that another 5 comes up?*
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The roll results are independent events.
P(5 on the 6th roll) = 1/6
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Cheers,
Stan H.
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