72 lines
4.7 KiB
HTML
72 lines
4.7 KiB
HTML
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<h2>Flea Circus</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 213</h3><span style="width:300px;color:#666;">Published on Saturday, 18th October 2008, 10:00 am; Solved by 1237</span></div>
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<p>A 30<img src='images/symbol_times.gif' width='9' height='9' alt='×' border='0' style='vertical-align:middle;' />30 grid of squares contains 900 fleas, initially one flea per square.<br />
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When a bell is rung, each flea jumps to an adjacent square at random (usually 4 possibilities, except for fleas on the edge of the grid or at the corners).</p>
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<p>What is the expected number of unoccupied squares after 50 rings of the bell? Give your answer rounded to six decimal places.</p>
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