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Hi all,
Could someone help me with a problem please?
I have 32 rounds and in each round there are 6 possible outcomes. Could someone please give the basic working of the probability of getting i.e. 5 out of 32 correct, or 10 out of 32 correct. Or even 5-9 out of 32, or 10-14 out of 32.
Thanks
Lee
(Thinking)
if only one of the 6 is correct, and you choose randomly, and the outcome of each round is independant of the other rounds, then...
...You are describing a case of the binomial distribution.
With the following:
probability of success (p) = 1/6
probability of failure (q) = 5/6
number of trials (n) = 32
the chance of getting exactly X guesses right is given by the formula
if you want to work out the chance of getting a range of values (5-10) then add up the chance of getting 5,6,7,8,9,10.
There are online tools that calculate these for you: Binomial Calculator