Question 333206
 Consider a die, which has the face of the 1-spot and the 5-spot, painted red. The remaining faces of the die are white. You roll this die 12 times. It either lands with a white face up, or a red face up.
P(red on each throw) = 2/6 = 1/3
P(white on each throw) = 4/6 = 2/3
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The following are binomial problems with n = 12: 
a. What is the probability of getting exactly 7 red faces in these 12 rolls?
P(x = 7) = 12C7*(1/3)^7*(2/3)^5 = binompdf(12,1/3,7) = 0.0477
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b. What is the probability of getting at least 4 white faces in 12 rolls?
P(4<= x <=12) = 1 - binomcdf(12,1/3,3) = 0.6069
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Cheers,
Stan H.