A double bull's-eye device (10) incorporated within a circular rib (11) formed on a dart frame (1) includes a base (101) having a top end (1015) and a bottom end (1016) engagable with the circular rib (11), an outer bull's-eye (102) sleeved from the top end (1015) on the base (101), and an inner bull's-eye (103) passing from the top end (1015) through the base (101) to be mounted on the base (101). Such double bull's-eye device (10) can be incorporated to the dart frame (1) easily. The inner and outer bull's-eyes are movable so that when darted they will contact the conducting matrix (21, Figure 2B) to generate a signal, for scoring purposes.
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