8434 /www/nrich/html/content/id/8434/ 1 0000-00-00T00:00:00 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><div style="text-align: center;"><mdo:image src="The%20three%20dice.jpg"></mdo:image><br></br>  </div> We need three ordinary dice, and it&#39;s probably best if they are different colours, one for hundreds, one for tens and one for units!  (<em>there may be a way  you could still find for doing this with only one dice ?</em>)<br></br> If you want to use a spinner instead click here: <div class="toggle">Go to <a href="http://nrich.maths.org.uk/6717">this interactivity</a> , where you can use a variety of spinners, but you&#39;ll need to spin three times to get the $3$ digit number.</div> <div>Rolling the dice will then give us a $3$ digit number. I guess that you&#39;d know that the lowest number would be $111$ and that the highest number would be $666$<br></br> It might seem at first that that will mean over $500$ possible numbers - but - how many are there actually?<br></br>  </div> <h4>When you have explored that and maybe come up with some interesting ideas and/or patterns that you&#39;ve notice you could the go on from here to explore further - <em>see below</em>.</h4> <div><br></br> What about dice or spinners with different amount of numbers? <em>(A multipurpose spinner that can be spun serveral times go <a href="http://nrich.maths.org.uk/6717">here</a>.)</em><br></br> <br></br> Compare the results for dice/spinners with $2$ numbers, $3$ numbers, $4$ numbers . . .<br></br> Explore these results - any further ideas? <br></br> Maybe think about <a href="http://nrich.maths.org.uk/5524">digital roots</a> with the results you&#39;ve got.<br></br> <br></br> What if you used $2$ dice for the whole thing? What then? Or $4$ dice ?<br></br>  </div></mdoxml> 2 5 0 1 1 0 0