document.write( "Question 1207488: A coin is biased, so that the head is twice as likely to occur as tail. If the coin is tossed 3 times, what is the probability of getting an even number? \n" ); document.write( "

Algebra.Com's Answer #845403 by greenestamps(13198) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "When a poorly worded question comes to this forum, you can, as one tutor likes to do, respond with a short novel mocking the student; or you can, as other tutors do, write a response addressing the question that the student obviously intended to ask.

\n" ); document.write( "I prefer the latter....

\n" ); document.write( "P(0 heads): $\"C%283%2C0%29%28%282%2F3%29%5E0%29%28%281%2F3%29%5E3%29=%281%29%281%29%281%2F27%29=1%2F27\"$

\n" ); document.write( "P{(1 head): $\"C%283%2C1%29%28%282%2F3%29%5E1%29%28%281%2F3%29%5E2%29=%283%29%282%2F3%29%281%2F9%29=6%2F27\"$

\n" ); document.write( "P{(2 heads): $\"C%283%2C2%29%28%282%2F3%29%5E2%29%28%281%2F3%29%5E1%29=%283%29%284%2F9%29%281%2F3%29=12%2F27\"$

\n" ); document.write( "P{(3 heads): $\"C%283%2C3%29%28%282%2F3%29%5E3%29%28%281%2F3%29%5E0%29=%281%29%288%2F27%29%281%29=8%2F27\"$

\n" ); document.write( "The probability of an even number (0 or 2) of heads is 1/27 + 12/27 = 13/27

\n" ); document.write( "ANSWER: 13/27

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