Impossible math question?

<p>I was doing some sat math practice and came across this question that seemed impossible and was wondering if anyone could help. It was</p>

<p>A cereal manufacturer puts pictures of famous athletes on cards in boxes of cereal. 20% of the boxes contain tiger woods, 30% contain lance Armstrong, and 50% contain Serena Williams. How many boxes of cereal do you need to buy to get a complete set of all three athletes? </p>

<p>If anyone know how do this this it was be great</p>

<p>if thats MCQ what are the choices ?</p>

<p>As stated there is no solution. There’s a “probability” of getting all three. So perhaps the intended question was: How many boxes of cereal do you need to buy so that the probability of getting all 3 is greater than (say) 90%, or (say) 99.999%, or …</p>

<p>that question definitely looks like something was left out of it. It must be a typo or error by whoever designed the question.</p>

<p>There is no solution that “guarantees” a set of all three. However if there is a fixed number of boxes (such as 20 Tiger Woods, 30 Armstrong, 50 Williams) then it’s solvable.</p>

<p>Even then if that’s the case, that’s still a poorly worded question. It should be "how many…to <em>guarantee</em> a complete set…?</p>

<p>Jay, i told you no one on here would tell you that answer, stop trying to trick people into giving you the extra credit for stats. Mr. Letzring will know that you didn’t do this yourself. also, this question would be way too hard to be an sat question even if you worded it correctly.</p>

<p>^Pwned. </p>

<p>Clearly, none of us can solve it since it’s worded so badly so it seems pointless posting it in the first place…</p>

<p>You need to buy “greater than or equal to” 3 boxes.</p>

<p>the only answer to this question is by percentage maybe u missed it in reading but the answer in percentage will be 51% since u dont have the actual number of the boxes</p>