SOLUTION: Let C1 C2 and C3 be three mutually disjoint subset of the sample space. Find P[(C1 U C2)C3] and P(C1 U C2)

Algebra.Com
Question 1129430: Let C1 C2 and C3 be three mutually disjoint subset of the sample space.
Find P[(C1 U C2)C3] and P(C1 U C2)
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Not enough information to find probabilities when no probabilities are given.
If you want to state the rest of the problem, do so in the form below and I'll
get back to you by email.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
1.  I read  (C1 U C2)C3  as  ((C1 U C2) intersection C3).


    Then, since the subsets  C1, C2 and C3 are mutually disjoint, the subset  (C1 U C2)C3  is empty.

    Therefore  P((C1 U C2)C3) = 0.      ANSWER



2.  Since the subsets  C1  and  C2  are disjoint,  P(C1 U C2) = P(C1) + P(C2).     ANSWER

Solved.


RELATED QUESTIONS

please help me in this p(c1 intersect c2 intersect c3 intersect c4 )=... (answered by stanbon)
Three circles C1,C2,C3 are externally tangent to each other. Center-to-center distances... (answered by ikleyn)
Find the sum of series {{{ 1 + (1^n/2)C1 + (1^n/3)C2 + (1^n/4)C3 + ...... (answered by ikleyn)
If c1 and c2 are independent events , show that the following pairs of events are also... (answered by stanbon)
Solve using systems of linear equations with two variables: C1+C2=0.00027 and... (answered by MathLover1)
5^C2 +... (answered by jim_thompson5910)
The vector v=[4 5] can be written as a linear combination of the vectors v1=[1 3]... (answered by Edwin McCravy)
Let C1 and C2 be two circles that intersect at two points A and B. Let P be the point... (answered by mananth)
2. A product is assembled from the three components C1, C2 and C3. The probabilities of... (answered by ikleyn)