Redistribution problem !

Hi Expert!
I'm currently studying about redistribute problem between OSPF and EIGRP.
Let's take this topology as an example !

On R1 I did redistribute connected.
R1 R2 R3 using EIGRP. R2, R3 Using OSPF
I did redistribute EIGRP into OSPF on R2.
So, stand at R3, It will go to R2 -> R1 and Lo 0 which is
But nothing about OSPF external route E2 show up in R3 topology table.

Link between R1-R2 ; R1-R3; R2-R3 .
The output from R3 :
R3#sh ip route
Codes: C - connected, S - static, R - RIP, M - mobile, B - BGP
D - EIGRP, EX - EIGRP external, O - OSPF, IA - OSPF inter area
N1 - OSPF NSSA external type 1, N2 - OSPF NSSA external type 2
E1 - OSPF external type 1, E2 - OSPF external type 2
i - IS-IS, su - IS-IS summary, L1 - IS-IS level-1, L2 - IS-IS level-2
ia - IS-IS inter area, * - candidate default, U - per-user static route
o - ODR, P - periodic downloaded static route

Gateway of last resort is not set is subnetted, 3 subnets

D [90/30720] via, 00:31:27, FastEthernet0/0
[90/30720] via, 00:31:27, FastEthernet0/1
C is directly connected, FastEthernet0/0
C is directly connected, FastEthernet0/1 is subnetted, 1 subnets
D EX [170/156160] via, 00:28:47, FastEthernet0/0

Can anyone tell me why ? Thanks !
Why R3 doesn't take The path R3-R2-R1-> Lo0 ( The OSPF path which external AD = 110 ), but it takes the Path R3-R1-Lo0 ( The EIGRP redistribute connected path which AD = 170 ) ? I think it supposed to take the R3-R2-R1-Lo0 As the book said. !

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