Probability question.
February 5th, 2012 at 9:38:55 PM
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If there are 6 tickets and 5 of them have your name on it, what are the chances to that your name will not be drawn 8 times out of 10 ? But to not be drawn for 5 times in a row ? But for 6 times in a row ? Thank you very much in advance !
February 5th, 2012 at 9:42:13 PM
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Are all of the tickets returned after each draw, so that you always have a 5/6 chance of winning? Were you not drawn exactly 8 out of 10 times, winning the other 2 drawings?
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
February 6th, 2012 at 12:22:35 AM
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Yes, 5/6 chance of winning. And yes 8 of 10 times I missed. (and I am not sure if it was a streak of 5 or 6 consecutive misses)
February 6th, 2012 at 7:05:06 AM
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The streaks are easy. They're just (odds of missing)^#ofmisses, so (1/6)^5 and (1/6)^6.
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
February 6th, 2012 at 10:17:00 AM
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I think this was already discussed just a few days ago.
For the first question (not to be drawn in 8 out of 10 cases) it involves the binomial probability distribution. (P[n,k]= C[n,k]*p^k*q^n-k ) I think is 1 / 53747,71 for the above question.
For the second, you have 2 distinctions: not to be drawn 5 times in a row from 5 trials or not to be drawn 5 times in a row in 10 trials or whatever. There are some calculators you can calculate each case.
I must add, these probabilities are apriori or before the event took place. If you had 10 draws and 8 times you didnt win, the probability for this is 1.
For the first question (not to be drawn in 8 out of 10 cases) it involves the binomial probability distribution. (P[n,k]= C[n,k]*p^k*q^n-k ) I think is 1 / 53747,71 for the above question.
For the second, you have 2 distinctions: not to be drawn 5 times in a row from 5 trials or not to be drawn 5 times in a row in 10 trials or whatever. There are some calculators you can calculate each case.
I must add, these probabilities are apriori or before the event took place. If you had 10 draws and 8 times you didnt win, the probability for this is 1.
