anonymous
  • anonymous
Alright here's an interesting one.You are playing coin toss and you win if you get heads.So the probability is 1/2 right?Now to win twice in a row your probability must be 1/4.So now you win against A and now you are playing with B and so now your probability to win must be 1/4 but B will think it is 1/2.Which is correct?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
gamblers fallacy. outcome isn't dependent on previous outcomes
anonymous
  • anonymous
probability you win against B is 1/2, probability you win against A and B is 1/4
anonymous
  • anonymous
Is the statement "Probability to win against A and B" the same as "Probability to win against B now that you have won against A" in pure mathematical sense

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experimentX
  • experimentX
on the second statement, you have assumption that you have already won again A.
experimentX
  • experimentX
so to win against A and B, your probability is 1/2
anonymous
  • anonymous
Let me rephrase the second statement,"The probability to win against B if you win against A"
experimentX
  • experimentX
still, i think it's 1/2, since it's probability to win against B ... if you win against A after all, i can say that, if I win against A, and i have probability 1/2 against B, but the outcome out whole event will have probability 1/4
anonymous
  • anonymous
But what is the probability to win twice in a row?
experimentX
  • experimentX
1/4
anonymous
  • anonymous
What is the probability to win second time in a row?
experimentX
  • experimentX
what is the probability to win the event after losing to A
anonymous
  • anonymous
1/2.Ok I think I get it
experimentX
  • experimentX
no ... it's 0, since to win event, you need to win twice in a row, and we have an assumption, that you lost in first toss ... so, assumption based on if did the job ... i must say ... more verbal type question
anonymous
  • anonymous
No I meant it is 1/2 to win against B after losing against A.But the probability to win the event is 0 as you said.In any case I think I understand now.Thanx
experimentX
  • experimentX
i totally agree with you

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