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Mathematics
Set Theory, Logic, Probability, Statistics
Probability of getting 3 heads or more in 20 coin flips
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[QUOTE="Fady, post: 5501998, member: 597241"] hey folks, My question is how to find probability of getting 3 CONSECUTIVE heads or more in 20 coin flips, what are the odds I have an approach which I need to verify and please clarify in case of missing points. No. of possible outcomes = 2 ^ 20 first I assume that first 3 outcomes are heads , all other 17 combinations of coins are to be counted, so there are 2 ^ 17 . then I assume first outcome is tail, and 2nd,3rd,4th outcomes are heads, all other 16 combinations of coins are to be counted , so there are 2^16 then I assume first outcome AND second outcome both are tail, and 3rd,4th,5th outcomes are heads , other 15 combinations are 2^15 then I assume first outcome , second outcome AND third outcome all are tail, and 4th,5th,6th outcomes are heads , other 14 combinations are 2^14 and so on until 1st to 17th outcome are all tail , and 18th,19th,20th are heads, possibility is 2^0 which is 1 so the answer is 2^17 + 2^16 + 2^15 + ... 2^0 which gives 262143 , with a probability of 0.25 are there any misleading overlapping cases? and please check R software or MATLAB or others to get the exact answer [/QUOTE]
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Set Theory, Logic, Probability, Statistics
Probability of getting 3 heads or more in 20 coin flips
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