document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199248>Question 1199248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1) A pizza shop offers three toppings: pineapple, peppers, and pepperoni. A pizza can have <BR>\n" );
document.write( "0, 1, 2, or 3 toppings. What’s the probability that a random customer asks for two toppings? </SPAN>\n" );
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document.write( "Let's flip 3 coins.\r<BR>\n" );
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document.write( "H = heads = you order a certain topping<BR>\n" );
document.write( "T = tails = do not order a certain topping\r<BR>\n" );
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document.write( "HHH for instance means you get 3 toppings<BR>\n" );
document.write( "HHT means you'd only get 2 toppings<BR>\n" );
document.write( "and so on.\r<BR>\n" );
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document.write( "Here are all of the ways to flip 3 coins. <BR>\n" );
document.write( "It is the sample space.<BR>\n" );
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document.write( "HHH\r\n" );
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document.write( "HHT\r\n" );
document.write( "HTH\r\n" );
document.write( "THH\r\n" );
document.write( "\r\n" );
document.write( "TTH\r\n" );
document.write( "THT\r\n" );
document.write( "HTT\r\n" );
document.write( "\r\n" );
document.write( "TTT\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "I've broken up that list such that each block represents a different count of H's and T's<BR>\n" );
document.write( "The second block has exactly 2 H's and 1 T<BR>\n" );
document.write( "The third block has exactly 1 H and 2 T's\r<BR>\n" );
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document.write( "There are 2^3 = 8 ways to flip 3 coins. There are 8 items in that sample space above.\r<BR>\n" );
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document.write( "Of those 8 ways, there are 3 items that have two toppings show up: <BR>\n" );
document.write( "HHT<BR>\n" );
document.write( "HTH<BR>\n" );
document.write( "THH<BR>\n" );
document.write( "The order of the toppings doesn't matter so effectively these are all the same. All that matters is that we have two heads in there somewhere.\r<BR>\n" );
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document.write( "We have 3 ways to get what we want (have exactly two toppings) out of 8 ways to order 0,1,2, or 3 toppings.\r<BR>\n" );
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document.write( "Therefore, we arrive at the <font color=red>final answer 3/8</font> to represent the probability of a random customer getting two toppings.\r<BR>\n" );
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document.write( "Keep in mind that this assumes each of the items in the sample space is equally likely.<BR>\n" );
document.write( "</font> </SPAN>\n" );
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