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解：（1）由题意可得， 
从袋中机摸出一个小球，则摸出的这个小球上标有的数字是1的概率为<img latex="\frac{2}{4}" src="data:image/png;base64,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" style="vertical-align: middle;" />=<img latex="\frac{1}{2}" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAgCAYAAAAi7kmXAAAAAXNSR0IArs4c6QAAASNJREFUSEvtlU1OwzAQhecle85QbhDZ3rc9SduDoII4SMpJaPcZKzdozsA+GTQlQZHjBLNBCJGlPd/Mmx9PQDOfMWYPYMfM25gJwsMeWBPRSu+SwcGRc+5RRNb/YKTeP1sc59xGRHZEtAFwUEFVVZ3HwiYDoJACgfrzl+DcCIbnk4h/FTTGWAB3KfmJyJv3nm/F6cGHRPD5E0wBfnE7dPdkWdaEozZInkxOURSrPM9LAE8iclTDtm0PdV03i0NurS1F5OK9P6mhtfZKRE24tCYRQ0N1RER75o/WLUody7LWvuqOZeb7RXB82ed7BbD91nvUaCLyMuSbFFGXVdd1TQxSB9GHrD3Uy1FlS2a+7Z7Z4vSL6gjgMhjF/iGxdkhk6E9hxHcrOLIhFfLT/gAAAABJRU5ErkJggg==" style="vertical-align: middle;" />， 
故答案为：<img latex="\frac{1}{2}" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAgCAYAAAAi7kmXAAAAAXNSR0IArs4c6QAAASNJREFUSEvtlU1OwzAQhecle85QbhDZ3rc9SduDoII4SMpJaPcZKzdozsA+GTQlQZHjBLNBCJGlPd/Mmx9PQDOfMWYPYMfM25gJwsMeWBPRSu+SwcGRc+5RRNb/YKTeP1sc59xGRHZEtAFwUEFVVZ3HwiYDoJACgfrzl+DcCIbnk4h/FTTGWAB3KfmJyJv3nm/F6cGHRPD5E0wBfnE7dPdkWdaEozZInkxOURSrPM9LAE8iclTDtm0PdV03i0NurS1F5OK9P6mhtfZKRE24tCYRQ0N1RER75o/WLUody7LWvuqOZeb7RXB82ed7BbD91nvUaCLyMuSbFFGXVdd1TQxSB9GHrD3Uy1FlS2a+7Z7Z4vSL6gjgMhjF/iGxdkhk6E9hxHcrOLIhFfLT/gAAAABJRU5ErkJggg==" style="vertical-align: middle;" />； 
（2）树状图如下： 
<img alt="菁优网" src="http://img.jyeoo.net/quiz/images/svg/202306/486/55d104c1.png" style="vertical-align:middle" /> 
由上可得，一共有16种等可能性，其中两数之积是偶数的可能性有7种， 
∴摸出的这两个小球上标有的数字之积是偶数的概率<img latex="\frac{7}{16}" src="data:image/png;base64,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" style="vertical-align: middle;" />．

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