A=
AP=<t>a)  V6(3 successful) = </t><m><1><t>V16</t></1></m><t>;   b)   V6(0 successful)  = </t><m><1><t>V17</t></1></m><t> </t>
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ES=Answers may vary.
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H=$.hint$
INST=A company estimates that the probabilities of success for<br> three products introduced in the market are V1, V3, and V5<br> respectively.  Assuming independence, find the probability that<p>\n
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MS=1
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Q=a)  the three products are successful.<br>\nb)  none of the products is successful.<br>\nWrite your answer as a reduced fraction.
SA=Answers may vary.
T=P
TF=-1
TL=
TOL=+1E-4
U=NOUNIT
V0=I[1,3]
V1=E"edfrac('V0','4','improper')"
V10=E"edfrac('V8','V9','improper,yB')"
V11=I(4-V0)
V12=I(6-V2)
V13=I(5-V4)
V14=I(V11*V12*V13)
V15=E"edfrac('V14','V9','improper,yB')"
V16=E"empfrac('V8','V9','improper')"
V17=E"empfrac('V14','V9','improper')"
V2=I[1,5]
V3=E"edfrac('V2','6','improper')"
V4=I[1,4]
V5=E"edfrac('V4','5','improper')"
V6=S"<i>P</i>"
V7=S"$space:w15h1$"
V8=I(V0*V2*V4)
V9=I(4*6*5)
W=<step>a)V7V6(3 successful) = V1 $dotmath$ V3 $dotmath$ V5 = V10</step>\n<step>b)V7V6(0 successful) = <paren=11h25>1-V1</paren> $dotmath$ <paren=11h25>1 - V3</paren> $dotmath$ <paren=11h25>1 - V5</paren> = V15</step>
YN=-1
cnum=4
followup=
ilev=0
mcdm=1
mdm=0
mpc=unspecified
mpn=2
mpv=2.0
mwnum=2
ncd=-1
subject=unspecified
varnum=22