Is it sexism to make assumptions that are probabilistically correct?<p>Consider the following procedure:<p>1) For a woman I don&#x27;t know, I buy her frozen yogurt. 
2) For a man I don&#x27;t know, I buy him pizza.<p>Now suppose my stereotypes are actually accurate - i.e., P(likes froyo &gt; pizza|woman) &gt; 0.5 and P(likes pizza &gt; froyo | man) &gt; 0.5. This procedure, based purely on stereotypes, will make everyone happier than flipping a coin. It&#x27;s actually the best possible way to allocate pizza and frozen yogurt if the only information I have is gender.<p>Are you really saying that to not be sexist, I need to ignore information and make worse decisions?<p>(My supposition that stereotypes are accurate has actually been studied: <a href="http:&#x2F;&#x2F;www.rci.rutgers.edu&#x2F;~jussim&#x2F;unbearable%20accuracy%20of%20stereotypes.pdf" rel="nofollow">http:&#x2F;&#x2F;www.rci.rutgers.edu&#x2F;~jussim&#x2F;unbearable%20accuracy%20o...</a> )