If a normal six-sided die is thrown 12 times, what is the probability that a 6 turns up exactly 4 times?

Monday, 22 April 2019

7:03 PM

If a normal six-sided die is thrown 10 times, what is the probability that a 6 turns up exactly 9 times?
comb (10, 9) *S/6A10
610

10
Choose 9 from 10 rolls where the 6 occurs in
ways.
9
The number of rolls where 6 occurs in those 9 positions and 6 does not occur in the remaining 1 positions is 5
Total number of possible rolls is 6
Hence the probability is "number of rolls with 9 sixes" divided by "total possible rolls":
10
51
9
z 0.0000008269.
610

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