document.write( "Question 931550: What is the difference between tosing 1 coin two times and tossing two coins at the same time ??\r
\n" ); document.write( "\n" ); document.write( "I think the sample space in the first case should be {HH,HT,TH,TT}
\n" ); document.write( "and in the second case should be {HH,HT,TT} because when we tossing two coins at the same time there is no difference between HT and TH !!!\r
\n" ); document.write( "\n" ); document.write( "What do you Think about that ? please give me an explination with details\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #565615 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
there should be no difference.\r
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\n" ); document.write( "\n" ); document.write( "if you toss a coin twice, the possible outcomes are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "hh
\n" ); document.write( "ht
\n" ); document.write( "th
\n" ); document.write( "tt\r
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\n" ); document.write( "\n" ); document.write( "what this means is that the probability of getting 2 heads is .25 and the probability of getting 2 tails is .25 and the probability of getting a tail and a head is equal to 2 * .25 = .5\r
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\n" ); document.write( "\n" ); document.write( "if you toss 2 coins together, the possible outcomes are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "hh
\n" ); document.write( "ht
\n" ); document.write( "th
\n" ); document.write( "tt\r
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\n" ); document.write( "\n" ); document.write( "you'll get the same probabilities.
\n" ); document.write( "2 heads would occur .25 of the time.
\n" ); document.write( "2 tails would occur .25 of the time.
\n" ); document.write( "a head and a tail would occur .25 of the time.\r
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\n" ); document.write( "\n" ); document.write( "the fact that you can't tell which coin the tail or the head came from when you toss both coins in the air at the same time is irrelevant.\r
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\n" ); document.write( "\n" ); document.write( "the head and the tail will come up 50% of the time either way.\r
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