Increase=I
Decrease=D
Unchanged=U
solution i)
sample spaces:
Share1={I,D,U}
Share2={I,D,U}
Share3={I,D,U}
solution ii)
Let X be the movement from share1, Y be the movement from share2 and Z from share3
Therefore:
P(X=x)=P(D)orP(U)orP(I)
Since:
P(D)=P(I)=P(U)
P(X=x)=31
Similarly:
P(Y=y)=P(Z=z)=31
P(A) where:
A={{x∈share1}={y∈share2}={z∈share3}}
=(31×31×31)×3=91
answer: 91
P(B) where:
B={{X=I}and{Y=I}and{Z=DorU}}
=31×31×(31+31)=272
answer: 272
P(C) Where:
C={{X=DorU}and{Y=DorU}and{Z=DorU}
=(31+31)×(31+31)×(31+31)=278
answer: 278
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