SOLUTION: We throw the same 12-sided (dodecahedron) dice (with numbers 1 to 12) 200 times. What is the probability that we'll get 70-90 prime numbers?

Question 1062260: We throw the same 12-sided (dodecahedron) dice (with numbers 1 to 12) 200 times.
What is the probability that we'll get 70-90 prime numbers?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the prime numbers on the die are
:
2, 3, 5 , 7 , 11
:
the probability(Pr) of rolling a prime number on 1 roll is 5/12
:
we use the binomial probability distribution
:
Pr ( 70 = < X < = 90 ) = Pr ( X < = 90 ) - Pr ( X < 70 )
:
use binomial probability distribution with n=200, r=70 or 90, p = 5/12, q = 7/12
:
Pr ( 70 = < X < = 90 ) = 0.82 - 0.02 = 0.80
:

RELATED QUESTIONS
We throw a fair dice 4 times. The throws are independent among them. i) What is the... (answered by ewatrrr)

Two six-sided dice are rolled (one red and one green). Some possibilities are... (answered by stanbon)

Studies have shown that Honolulu has an average daily temperature of mu = 73 degrees F... (answered by Boreal)

Three six sided dice are thrown and produce a random set of numbers eg 1 4 6 = 11.... (answered by Edwin McCravy)

Two fair six-sided dice are rolled. What is the probability that the sum of the... (answered by rothauserc)

Five standard 6-sided dice are rolled, and the resulting numbers are multiplied together. (answered by CPhill)

If you roll 2, 6 sided dice the probability of rolling a two is 1/36, the chance of... (answered by richard1234)

We throw two dice. a) What is the probability that both faces of the dice are... (answered by Edwin McCravy)

We throw 2 dice and we suppose that 6 x 6 = 36 outcomes have equal probability. Let B the (answered by ewatrrr)