statistics homework help A drinking game involves a 14 sided die. Six of the 14 faces are squares A, B, C, D, E,and F for short. The other eight are triangles which are called 1,2,3,4,5,6,7, and 8. Each of the squares is equally likely. but he triangle probability differs from the square. The probability of getting a square is 0.72. Give the probability for the 14 outcomes.
prob square = .72
then prob of triangle is 1-.72 = .28
prob(each of the particular squares) = .72/6 = .12
prob(each of the particular triangles = .28/8 = .035
note 8(.035) + 6(312) = 1
145
To find the probability for each of the 14 outcomes, we can start by dividing them into two categories: squares and triangles.
Given that the probability of getting a square is 0.72, we can calculate the probability of getting a triangle by subtracting 0.72 from 1 (since the sum of the probabilities of all possible outcomes must equal 1).
Probability of getting a triangle = 1 - 0.72 = 0.28
Now we have the probability for each category. Let's assign the probabilities to each outcome.
There are six squares, so each square has an equal probability of:
Probability(A) = Probability(B) = Probability(C) = Probability(D) = Probability(E) = Probability(F) = 0.72/6 = 0.12
There are eight triangles, so each triangle has an equal probability of:
Probability(1) = Probability(2) = Probability(3) = Probability(4) = Probability(5) = Probability(6) = Probability(7) = Probability(8) = 0.28/8 = 0.035
So, the probability for each of the 14 outcomes is as follows:
Probability(A) = Probability(B) = Probability(C) = Probability(D) = Probability(E) = Probability(F) = 0.12
Probability(1) = Probability(2) = Probability(3) = Probability(4) = Probability(5) = Probability(6) = Probability(7) = Probability(8) = 0.035
These probabilities add up to 1.