document.write( "Question 1117538: Hello, I have a question! I tried the first one on my own and I think it's correct.Any help is greatly appreciated! Thank you so much! It helps me out a lot!\r
\n" );
document.write( "\n" );
document.write( "It's a two part question:\r
\n" );
document.write( "\n" );
document.write( "I flip a coin 3 times and get all heads. \r
\n" );
document.write( "\n" );
document.write( "1. Does that mean the next has got to be tails? Why or why not. I said no, because the next time you flip, it could be heads again. \r
\n" );
document.write( "\n" );
document.write( "2. In the long run, what proportion of flips will up as heads? This is where I am stuck. Again any help is greatly appreciated and welcomed! Thank you so much! \n" );
document.write( "
Algebra.Com's Answer #732641 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! 1. You are correct. No matter how many heads in a row, on the next flip P(heads) = 50%, P(tails) = 50% (assuming a fair coin of course). \r \n" ); document.write( "\n" ); document.write( "2. What do you think? If you flip a coin 10 times you might get 7 heads, 3 tails but 1000 times you might get 4700 heads, 5300 tails, 1000000 times . maybe 510000 heads and 490000 tails. Doesn't it seem likely that for a huge number of flips, the ratio of number of heads to number of flips will approach 1/2? \r \n" ); document.write( "\n" ); document.write( "Check out this simulator. It lets you flip a coin virtually 100's of thousands of times (check the Session box to make the numbers tally just your session). \n" ); document.write( "http://www.btwaters.com/probab/flip/coinmainD.html\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |