anonymous
  • anonymous
a game is played in which a coin is tossed untill the third tail when the game stops, what is the probability that there will be at least three heads before the game stops...?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Each time you toss the coin you have a 1/2 probability it will be heads or tails. The probability of getting two of the same in a row is (1/2)(1/2)=(1/4) So it depends on how many iterations of throwing the coin were done.
anonymous
  • anonymous
that's the only information given...
barrycarter
  • barrycarter
It's tempting to say that the answer is 50% by symmetry, but I don't think that's actually true.

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barrycarter
  • barrycarter
If the game stops in 6 or more flips, we know that there are 3 tails, so the rest must be heads, which means there are at least 3 heads. If the game stops in 5 or fewer slips, there can be at most 2 heads. The game can't stop in fewer than 3 flips. So, you only have to consider the cases of 3, 4, and 5 flips.

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