document.write( "Question 947658: In a certain barnyard all the chickens are either red or black, 10% of the chickens are roosters. Half of the roosters are black. If a chicken is chosen at random, what is the probability that it is both a rooster and is black? \n" ); document.write( "

Algebra.Com's Answer #578314 by Theo(13342) $\"\"$ $\"About$

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chickens are either red or black.
\n" ); document.write( "10% are roosters.
\n" ); document.write( "50% of roosters are black.
\n" ); document.write( "probability a chicken is both a rooster and black will be 10% * 50% = 5%.
\n" ); document.write( "for example:
\n" ); document.write( "assume 100 chickens.
\n" ); document.write( "10% are roosters.
\n" ); document.write( "that makes 10 that are rooster.
\n" ); document.write( "50% of the 10 are black.
\n" ); document.write( "that makes 5 of the roosters that are black.
\n" ); document.write( "you have 5 chickens out of 100 that are both black and a rooster.
\n" ); document.write( "5/100 = .05 = 5%.
\n" ); document.write( "probability that you randomly pick a chicken out of the group of chickens and that the chicken is both black and a rooster is 5%.\r
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