Q: OSX bootcamp not showing on Option key boot up

/dev/disk0

   #:                       TYPE NAME                    SIZE       IDENTIFIER

   0:      GUID_partition_scheme                        *500.3 GB   disk0

   1:                        EFI EFI                     209.7 MB   disk0s1

   2:          Apple_CoreStorage                         420.2 GB   disk0s2

   3:                 Apple_Boot Recovery HD             650.0 MB   disk0s3

   4:       Microsoft Basic Data                         60.0 GB    disk0s4

/dev/disk1

   #:                       TYPE NAME                    SIZE       IDENTIFIER

   0:                  Apple_HFS Macintosh HD           *419.9 GB   disk1

                                 Logical Volume on disk0s2

                                 6915A221-C321-47AD-83EF-79E02DF42F5A

                                 Unlocked Encrypted

Zacharys-Macbook-Pro:~ Zachary$ diskutil cs list

CoreStorage logical volume groups (1 found)

|

+-- Logical Volume Group A28D87B8-FB2F-4E5A-9873-B4D7C3EB37E3

    =========================================================

    Name:         Macintosh HD

    Status:       Online

    Size:         420230041600 B (420.2 GB)

    Free Space:   18976768 B (19.0 MB)

    |

    +-< Physical Volume 17BC8AC6-8DED-4215-994B-0000742E20D3

    |   ----------------------------------------------------

    |   Index:    0

    |   Disk:     disk0s2

    |   Status:   Online

    |   Size:     420230041600 B (420.2 GB)

    |

    +-> Logical Volume Family BE71DED9-2FF9-4466-AEA4-68583F077C74

        ----------------------------------------------------------

        Encryption Status:       Unlocked

        Encryption Type:         AES-XTS

        Conversion Status:       Complete

        Conversion Direction:    -none-

        Has Encrypted Extents:   Yes

        Fully Secure:            Yes

        Passphrase Required:     Yes

        |

        +-> Logical Volume 6915A221-C321-47AD-83EF-79E02DF42F5A

            ---------------------------------------------------

            Disk:                  disk1

            Status:                Online

            Size (Total):          419858743296 B (419.9 GB)

            Conversion Progress:   -none-

            Revertible:            Yes (unlock and decryption required)

            LV Name:               Macintosh HD

            Volume Name:           Macintosh HD

            Content Hint:          Apple_HFS

Zacharys-Macbook-Pro:~ Zachary$ sudo gpt -vv -r show /dev/disk0

Password:

gpt show: /dev/disk0: mediasize=500277790720; sectorsize=512; blocks=977105060

gpt show: /dev/disk0: Suspicious MBR at sector 0

gpt show: /dev/disk0: Pri GPT at sector 1

gpt show: /dev/disk0: Sec GPT at sector 977105059

      start       size  index  contents

          0          1         MBR

          1          1         Pri GPT header

          2         32         Pri GPT table

         34          6        

         40     409600      1  GPT part - C12A7328-F81F-11D2-BA4B-00A0C93EC93B

     409640  820761800      2  GPT part - 53746F72-6167-11AA-AA11-00306543ECAC

  821171440    1269536      3  GPT part - 426F6F74-0000-11AA-AA11-00306543ECAC

  822440976   37477360        

  859918336  117186560      4  GPT part - EBD0A0A2-B9E5-4433-87C0-68B6B72699C7

  977104896        131        

  977105027         32         Sec GPT table

  977105059          1         Sec GPT header

Zacharys-Macbook-Pro:~ Zachary$ sudo fdisk /dev/disk0

Disk: /dev/disk0 geometry: 60821/255/63 [977105060 sectors]

Signature: 0xAA55

         Starting       Ending

#: id  cyl  hd sec -  cyl  hd sec [     start -       size]

------------------------------------------------------------------------

1: EE 1023 254  63 - 1023 254  63 [         1 -     409639] <Unknown ID>

2: AC 1023 254  63 - 1023 254  63 [    409640 -  820761800] <Unknown ID>

3: AB 1023 254  63 - 1023 254  63 [ 821171440 -    1269536] Darwin Boot

4: 0C 1023 254  63 - 1023 254  63 [ 859918336 -  117186560] Win95 FAT32L