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| First Round Draft Pick History |
| 1 | 8 | 8 | 1978 | Annual Draft | OF | Bob | Bailey | MLB |
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| 1 | 7 | 7 | 1977 | Annual Draft | P | Larry | Dierker | MLB |
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| 1 | 7 | 7 | 1976 | Annual Draft | OF | Tony | Oliva | MLB |
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| Complete Draft History |
| 1 | 8 | 8 | 1978 | Annual Draft | OF | Bob | Bailey | MLB |
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| 2 | 2 | 18 | 1978 | Annual Draft | C+ | Jerry | Grote | MLB |
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| 3 | 15 | 47 | 1978 | Annual Draft | OF | Dave | May | MLB |
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| 5 | 16 | 80 | 1978 | Annual Draft | OF | Wilbur | Howard | MLB |
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| 6 | 6 | 86 | 1978 | Annual Draft | P | Jesse | Jefferson | MLB |
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| 7 | 8 | 104 | 1978 | Annual Draft | P | Ed | Farmer | MLB |
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| 1 | 7 | 7 | 1977 | Annual Draft | P | Larry | Dierker | MLB |
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| 2 | 7 | 23 | 1977 | Annual Draft | P | Tom | Hall | MLB |
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| 3 | 7 | 39 | 1977 | Annual Draft | P | Larry | Demery | MLB |
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| 4 | 4 | 52 | 1977 | Annual Draft | P | Steve | Kline | MLB |
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| 4 | 7 | 55 | 1977 | Annual Draft | OF | Tony | Scott | MLB |
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| 6 | 7 | 87 | 1977 | Annual Draft | P | Mike | Willis | MLB |
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| 1 | 7 | 7 | 1976 | Annual Draft | OF | Tony | Oliva | MLB |
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| 2 | 2 | 18 | 1976 | Annual Draft | P | Bob | Moose | MLB |
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| 4 | 2 | 50 | 1976 | Annual Draft | SS | Terry | Harmon | MLB |
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| 4 | 7 | 55 | 1976 | Annual Draft | P | Bart | Johnson | MLB |
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