SOLUTION: Help please!
The sample space of an experiment is
{A, B, C},
where P(A) + P(B) = 0.71, P(B) + P(C) = 0.41. Find P(A), P(B), and P(C).
P(A)=
P(B)=
P(C)=
Algebra.Com
Question 473913: Help please!
The sample space of an experiment is
{A, B, C},
where P(A) + P(B) = 0.71, P(B) + P(C) = 0.41. Find P(A), P(B), and P(C).
P(A)=
P(B)=
P(C)=
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
We should have P(A) + P(B) + P(C) = 1, so that P(C) = 1 - (P(A) + P(B)) = 1-0.71 = 0.29, P(A) = 1 - (P(B) + P(C)) = 1-0.41 = 0.59.
==> P(B) = 1 - P(A) - P(C) = 1 - 0.59 - 0.29 = 0.12.
RELATED QUESTIONS
suppose the sample space of a statistical experiment is {A,B,C} where P(A)=0.08 and... (answered by ikleyn)
A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome (answered by ikleyn)
Suppose the sample space of a statistical experiment is A, B, C where P(A) = 0.26 and... (answered by ikleyn)
The sample space of an experiment is:
{A, B, C, D} AND P(A) = 0.1, P(B) = 0.3, P(C) =... (answered by stanbon)
Suppose the sample space of a statistical experiment is \lbrace A, B, C \rbrace, where... (answered by ikleyn)
2.2.4. An experiment has four possible outcomes A, B, C, and D. Check whether the... (answered by ikleyn)
Show that
P[A+B+C] = P[A] +P[B] +P[C]
–P[AB]-P[AC]-P[BC] +P[ABC]
(answered by robertb)
4. Compute the probability.
a. If P(A) = 0.2 , P(B)= 0.4, and P(A and B) = 0.1, find... (answered by ikleyn)
The accompanying Venn diagram illustrates a sample space containing six sample points and (answered by ikleyn)