How ix_sel is calculated? Jonathan Lewis please help

There is table TETRO, partitioned by column BSTATE, and subpartitioned by column C (not present below).
Also there is query:
SELECT *
  FROM TETRO T
WHERE T.BOST = 'BB810'
   and BSTATE = 'CLOSED'And there is global index IDX_1 on columns BOST, BSTATE.
The questions are following:
1. How in this case calculated ix_sel for the index above?
2. How calculated cardinality of index?
I think it is really one question.
Thie is excerpt from 10053:
QUERY BLOCK TEXT
SELECT *
  FROM TETRO T
WHERE T.BOST = 'BB810'
   and BSTATE = 'CLOSED'
QUERY BLOCK SIGNATURE
qb name was generated
signature (optimizer): qb_name=SEL$1 nbfros=1 flg=0
  fro(0): flg=0 objn=789900 hint_alias="T"@"SEL$1"
SYSTEM STATISTICS INFORMATION
  Using WORKLOAD Stats
  CPUSPEED: 1033 millions instructions/sec
  SREADTIM: 0 milliseconds
  MREADTIM: 1 millisecons
  MBRC: 12.000000 blocks
  MAXTHR: -1 bytes/sec
  SLAVETHR: -1 bytes/sec
BASE STATISTICAL INFORMATION
Table Stats::
  Table: TETRO  Alias:  T  Partition [7]
    #Rows: 5689355  #Blks:  490747  AvgRowLen:  267.00
    #Rows: 5689355  #Blks:  490747  AvgRowLen:  267.00
Index Stats::
  Index: IDX_1  Col#: 7 9
    LVLS: 3  #LB: 337246  #DK: 453  LB/K: 744.00  DB/K: 36878.00  CLUF: 16705760.00
  Index: IDX_2  Col#: 7  PARTITION [7]
    LVLS: 2  #LB: 28106  #DK: 2  LB/K: 14053.00  DB/K: 392101.00  CLUF: 784203.00
    LVLS: 2  #LB: 28106  #DK: 2  LB/K: 14053.00  DB/K: 392101.00  CLUF: 784203.00
SINGLE TABLE ACCESS PATH
  BEGIN Single Table Cardinality Estimation
  Column (#7): BOST(VARCHAR2)  Part#: 7
    AvgLen: 7.00 NDV: 16 Nulls: 0 Density: 0.0625
  Column (#7): BOST(VARCHAR2)
    AvgLen: 7.00 NDV: 16 Nulls: 0 Density: 0.0625
  Column (#9): BSTATE(VARCHAR2)  Part#: 7
    AvgLen: 6.00 NDV: 1 Nulls: 0 Density: 1
  Column (#9): BSTATE(VARCHAR2)
    AvgLen: 6.00 NDV: 1 Nulls: 0 Density: 1
  Table: TETRO  Alias: T    
    Card: Original: 5689355  Rounded: 355585  Computed: 355584.69  Non Adjusted: 355584.69
  END   Single Table Cardinality Estimation
  Access Path: TableScan
    Cost:  142335.78  Resp: 142335.78  Degree: 0
      Cost_io: 122064.00  Cost_cpu: 5486476442
      Resp_io: 122064.00  Resp_cpu: 5486476442
kkofmx: index filter:"T"."BSTATE"='CLOSED'
kkofmx: index filter:"T"."BSTATE"='CLOSED'
kkofmx: index filter:"T"."BOST"='BB810' AND "T"."BSTATE"='CLOSED'
kkofmx: index filter:"T"."BOST"='BB810' AND "T"."BSTATE"='CLOSED'
kkofmx: index filter:"T"."BSTATE"='CLOSED'
  Access Path: index (AllEqRange)
    Index: IDX_1
    resc_io: 37627.00  resc_cpu: 351652199
    ix_sel: 0.0022075  ix_sel_with_filters: 0.0022075
    Cost: 38926.31  Resp: 38926.31  Degree: 1
  Access Path: index (AllEqRange)
    Index: IDX_2
    resc_io: 50772.00  resc_cpu: 980748811
    ix_sel: 0.0625  ix_sel_with_filters: 0.0625
    Cost: 54395.73  Resp: 54395.73  Degree: 1
  ****** trying bitmap/domain indexes ******
  ****** finished trying bitmap/domain indexes ******
  Best:: AccessPath: IndexRange  Index: IDX_1
         Cost: 38926.31  Degree: 1  Resp: 38926.31  Card: 355584.69  Bytes: 0
OPTIMIZER STATISTICS AND COMPUTATIONS
GENERAL PLANS
Considering cardinality-based initial join order.
Permutations for Starting Table :0
Join order[1]:  TETRO[T]#0
Best so far: Table#: 0  cost: 38926.3068  card: 355584.6875  bytes: 94941195
(newjo-stop-1) k:0, spcnt:0, perm:1, maxperm:80000
Number of join permutations tried: 1
Final - First Rows Plan:  Best join order: 1
  Cost: 38926.3068  Degree: 1  Card: 355585.0000  Bytes: 94941195
  Resc: 38926.3068  Resc_io: 37627.0000  Resc_cpu: 351652199
  Resp: 38926.3068  Resp_io: 37627.0000  Resc_cpu: 351652199
kkoipt: Query block SEL$1 (#0)
Current SQL statement for this session:
explain plan for
SELECT *
  FROM TETRO T
WHERE T.BOST = 'BB810'
   and BSTATE = 'CLOSED'
============
Plan Table
============
------------------------------------------------------+-----------------------------------+---------------+
| Id  | Operation                           | Name    | Rows  | Bytes | Cost  | Time      | Pstart| Pstop |
------------------------------------------------------+-----------------------------------+---------------+
| 0   | SELECT STATEMENT                    |         |       |       |   38K |           |       |       |
| 1   |  TABLE ACCESS BY GLOBAL INDEX ROWID | TETRO   |  347K |   91M |   38K |  00:00:11 | ROW LOCATION| ROW LOCATION|
| 2   |   INDEX RANGE SCAN                  | IDX_1   |   12K |       |   828 |  00:00:01 |       |       |
------------------------------------------------------+-----------------------------------+---------------+
Predicate Information:
2 - access("T"."BOST"='BB810' AND "BSTATE"='CLOSED')
I expected that ix_sel will equal density(BOST in parition 7) * density(BSTATE in parition 7) = 0.0625
And cardinality of index scan = ix_sal * num_rows(in parition 7) = 355K.
And I see this calculations in section Table
  Table: TETRO  Alias: T    
    Card: Original: 5689355  Rounded: 355585  Computed: 355584.69  Non Adjusted: 355584.69But why ix_sel(IDX_1) = 0.0022075 (instaed of 0.0625)?
And cardinality of index range scan is 12K instead of 355K ?

Fathers, please help to understand following piece (10053 on the bottom of the page).
This similar case as above. The same tables and predicates.
But local index is used (forced by a hint).
select --+ index(t TETROBOSTMANAGEDBYCLOSEDSTATES)
  from TETRO t
where BSTATE = 'CLOSED'
   and BOST = 'BS277'Please notice, I force partition pruning using predicate BSTATE = 'CLOSED'.
And number of subpartitions is 13.
This index consists columns BOST(just a column), C (subpartition key), C1 (just a column)
So, in this case ix_sel and cardinality same as I expected to see w/o histograms.
  Access Path: index (RangeScan)
    Index: TETROBOSTMANAGEDBYCLOSEDSTATES
    resc_io: 269487.00  resc_cpu: 1987916858
    ix_sel: 0.0625  ix_sel_with_filters: 0.0625
    Cost: 276832.08  Resp: 276832.08  Degree: 1
  Best:: AccessPath: IndexRange  Index: TETROBOSTMANAGEDBYCLOSEDSTATES
         Cost: 276832.08  Degree: 1  Resp: 276832.08  Card: 355584.69  Bytes: 0But why final execution plan has another cardinality of index scan (31K)?
============
Plan Table
============
-----------------------------------------------------------------------------+-----------------------------------+---------------+
| Id  | Operation                            | Name                          | Rows  | Bytes | Cost  | Time      | Pstart| Pstop |
-----------------------------------------------------------------------------+-----------------------------------+---------------+
| 0   | SELECT STATEMENT                     |                               |       |       |  270K |           |       |       |
| 1   |  PARTITION RANGE SINGLE              |                               |  347K |   91M |  270K |  00:01:13 | 8     | 8     |
| 2   |   PARTITION LIST ALL                 |                               |  347K |   91M |  270K |  00:01:13 | 1     | 27    |
| 3   |    TABLE ACCESS BY LOCAL INDEX ROWID | TETRO                         |  347K |   91M |  270K |  00:01:13 | 190   | 216   |
| 4   |     INDEX RANGE SCAN                 | TETROBOSTMANAGEDBYCLOSEDSTATES|   31K |       |  5844 |  00:00:02 | 190   | 216   |
-----------------------------------------------------------------------------+-----------------------------------+---------------+
Predicate Information:
3 - filter("BSTATE"='CLOSED')
4 - access("BOST"='BS277')
QUERY BLOCK TEXT
select --+ index(t TETROBOSTMANAGEDBYCLOSEDSTATES)
* from TETRO t where BSTATE = 'CLOSED' and BOST = 'BS277'
BASE STATISTICAL INFORMATION
Table Stats::
  Table: TETRO  Alias:  T  Partition [7]
    #Rows: 5689355  #Blks:  490747  AvgRowLen:  267.00
    #Rows: 5689355  #Blks:  490747  AvgRowLen:  267.00
Index Stats::
  Index: TETROBOSTMANAGEDBYCLOSEDSTATES  Col#: 7 11 25  PARTITION [7]
    LVLS: 3  #LB: 87376  #DK: 3679167  LB/K: 1.00  DB/K: 1.00  CLUF: 4224354.00
    LVLS: 3  #LB: 87376  #DK: 3679167  LB/K: 1.00  DB/K: 1.00  CLUF: 4224354.00
    User hint to use this index
SINGLE TABLE ACCESS PATH
  BEGIN Single Table Cardinality Estimation
  Column (#9): BSTATE(VARCHAR2)  Part#: 7
    AvgLen: 6.00 NDV: 1 Nulls: 0 Density: 1
  Column (#9): BSTATE(VARCHAR2)
    AvgLen: 6.00 NDV: 1 Nulls: 0 Density: 1
  Column (#7): BOST(VARCHAR2)  Part#: 7
    AvgLen: 7.00 NDV: 16 Nulls: 0 Density: 0.0625
  Column (#7): BOST(VARCHAR2)
    AvgLen: 7.00 NDV: 16 Nulls: 0 Density: 0.0625
  Table: TETRO  Alias: T    
    Card: Original: 5689355  Rounded: 355585  Computed: 355584.69  Non Adjusted: 355584.69
  END   Single Table Cardinality Estimation
  Access Path: index (RangeScan)
    Index: TETROBOSTMANAGEDBYCLOSEDSTATES
    resc_io: 269487.00  resc_cpu: 1987916858
    ix_sel: 0.0625  ix_sel_with_filters: 0.0625
    Cost: 276832.08  Resp: 276832.08  Degree: 1
  Best:: AccessPath: IndexRange  Index: TETROBOSTMANAGEDBYCLOSEDSTATES
         Cost: 276832.08  Degree: 1  Resp: 276832.08  Card: 355584.69  Bytes: 0
OPTIMIZER STATISTICS AND COMPUTATIONS
GENERAL PLANS
Considering cardinality-based initial join order.
Permutations for Starting Table :0
Join order[1]:  TETRO[T]#0
Best so far: Table#: 0  cost: 276832.0812  card: 355584.6875  bytes: 94941195
(newjo-stop-1) k:0, spcnt:0, perm:1, maxperm:80000
============
Plan Table
============
-----------------------------------------------------------------------------+-----------------------------------+---------------+
| Id  | Operation                            | Name                          | Rows  | Bytes | Cost  | Time      | Pstart| Pstop |
-----------------------------------------------------------------------------+-----------------------------------+---------------+
| 0   | SELECT STATEMENT                     |                               |       |       |  270K |           |       |       |
| 1   |  PARTITION RANGE SINGLE              |                               |  347K |   91M |  270K |  00:01:13 | 8     | 8     |
| 2   |   PARTITION LIST ALL                 |                               |  347K |   91M |  270K |  00:01:13 | 1     | 27    |
| 3   |    TABLE ACCESS BY LOCAL INDEX ROWID | TETRO                         |  347K |   91M |  270K |  00:01:13 | 190   | 216   |
| 4   |     INDEX RANGE SCAN                 | TETROBOSTMANAGEDBYCLOSEDSTATES|   31K |       |  5844 |  00:00:02 | 190   | 216   |
-----------------------------------------------------------------------------+-----------------------------------+---------------+
Predicate Information:
3 - filter("BSTATE"='CLOSED')
4 - access("BOST"='BS277')

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