SOLUTION: A 4 sided die is rolled. A 1 happens 23.5% of the time A 2 happens 22.2% of the time A 3 happens 26.3% of the time A 4 happens 28% of the time. What is the probability that od

Algebra ->  Probability-and-statistics -> SOLUTION: A 4 sided die is rolled. A 1 happens 23.5% of the time A 2 happens 22.2% of the time A 3 happens 26.3% of the time A 4 happens 28% of the time. What is the probability that od      Log On


   



Question 921752: A 4 sided die is rolled.
A 1 happens 23.5% of the time
A 2 happens 22.2% of the time
A 3 happens 26.3% of the time
A 4 happens 28% of the time.
What is the probability that odd number happens exactly 20 times - out of 30 rolls?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A 4 sided die is rolled.
A 1 happens 23.5% of the time
A 2 happens 22.2% of the time
A 3 happens 26.3% of the time
A 4 happens 28% of the time.
What is the probability that odd number happens exactly 20 times - out of 30 rolls?
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P(odd on a roll) = 23.5%+26.3% = 49.8%
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P(x = 20) = 30C20(0.498)^20(0.502)^10 = binompdf(30,0.498,20) = 0.0269
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Cheers,
Stan H.
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