What is the probability that mr. Jackson will roll a 4 at least 5 times out of his 30 rolls of a number cube?

P(x<=5) = 0.6164

Step-by-step explanation:

The probability of getting a four in general throw = 1/6

Probability of getting 4,  5 times in a throw of 30 roll of cubes

= (1/6) ^5

                                                                             XP(X)

P ( X = 0) C (30,0) * 0.167^0 * ( 1 - 0.167)^30=00.0042

P ( X = 1) = C (30,1) * 0.167^1 * ( 1 - 0.167)^29=10.0253

P ( X = 2) = C (30,2) * 0.167^2 * ( 1 - 0.167)^28=20.0733

P ( X = 3) = C (30,3) * 0.167^3 * ( 1 - 0.167)^27=30.1368

P ( X = 4) = C (30,4) * 0.167^4 * ( 1 - 0.167)^26=40.1847

P ( X = 5) = C (30,5) * 0.167^5 * ( 1 - 0.167)^25=50.1921

P(x<=5) = 0.6164

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