Question 1185781
n = 52
p = .14
q = 1 minus p = .86
p(x) = p^x * q^(n-x) * c(n,x)


p(6) = .14^6 * .86^46 * c(52,6) = 0.148745273



p(25) = .14^25 * .86^27 * c(52,25) = 3.66167 * 10^-9



p(52) = .14^52 * .86^0 * c(52,52) = 3.96879E * 10^-45


if you round your answers to 8 decimal places, those higher numbers become effectively 0.


i used excel to show all the probabilities.
the sum of those probabilities is equal to 1, as it should be.
note that the higher probbilitie are effectively equal to 0 when the results are rounded to 8 decimal digits.


here's the excel printout.


<img src = "http://theo.x10hosting.com/2021/100801.jpg" >


<img src = "http://theo.x10hosting.com/2021/100802.jpg" >


it would be unusual for a packet to have all brown m&m's.
the most likely cause would be that the other colors ran out and so there were only brown colors left.
this could be the result of machine failure or human failure.
maybe somebody forgot to load the other colors?