document.write( "Question 1116299: Suppose a fair coin is tossed 12 times.\r
\n" ); document.write( "\n" ); document.write( "How many different sequences of heads and tails can result?\r
\n" ); document.write( "\n" ); document.write( "What is the probability that it will land heads exactly one time?\r
\n" ); document.write( "\n" ); document.write( "What is the probability that it will land heads at least one time? \n" ); document.write( "
Algebra.Com's Answer #731208 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
Suppose a fair coin is tossed 12 times.\r
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Choose the 1st toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 2nd toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 3rd toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 4th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 5th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 6th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 7th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 8th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 9th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 10th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 11th toss either of 2 ways, {heads,tails}\r\n" );
document.write( "Choose the 12th toss either of 2 ways, {heads,tails}\r\n" );
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document.write( "That's 2×2×2×2×2×2×2×2×2×2×2×2 = 212 = 4096
What is the probability that it will land heads exactly one time?
Choose which toss will be the 1 head (the rest tails) in 12 ways.\r\n" );
document.write( "So the probability is 12 ways out of 4096, or 12/4096, which reduces to 3/1024.
What is the probability that it will land heads at least one time?
The complement event is that it will land tails all 12 times.
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document.write( "The probability of \"all tails\" is 1 way out of 4096 or 1/4096
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document.write( "So the probability of at least one head is 1 - 1/4096 or 4095/4096.\r
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