SOLUTION: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A).
P(A) =
P(B) =
P(C) =
Algebra ->
Finance
-> SOLUTION: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A).
P(A) =
P(B) =
P(C) =
Log On
Question 1150345: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A).
P(A) =
P(B) =
P(C) = Answer by ikleyn(52884) (Show Source):
Let P(A) = x.
Then P(B) = x and P(C) = 3x
Also P(A) + P(B) + P(C) = 1, i.e.
x + x + 3x = 1
5x = 1
x = = 0.2.
ANSWER. P(A) = 0.2, P(B) = 0.2, P(C) = 0.6.
