Question 1117538
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).<br>

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? <br>

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).
http://www.btwaters.com/probab/flip/coinmainD.html

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