SOLUTION: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting more than three twos

Question 1116022: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting more than three twos
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
use the binomial probability formula
:
Probability (P) (k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
:
for this problem n=20, p = 1/6(probability of rolling 1 two) is approximately 0.1667
:
P ( of getting more that 3 two's) = 1 -P(0 two's out of 20 trials) -P(1 two out of 20 trials) -P(2 two's out of 20 trials) -P(3 two's out of 20 trials)
:
P ( of getting more that 3 two's) = 1 -0.026 -0.104 -0.198 -0.238 = 0.434
:

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