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Probability, tossin a coin

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Probability, tossin a coin [#permalink] New post 02 Apr 2014, 21:03
Dear experts, please help!

What is the Probability of tossing a coin five times and having heads appear at least two times?


I tríed to solve it similar like the following but it seems different.

What is the Probability of a coin being tossed three times in a two and landing on heads at least one time?

Landing tails the three times: 1/8

Landing heads at least one time:
1-1/8= 7/8

??

Thanks always for your help!!

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Re: Probability, tossin a coin [#permalink] New post 02 Apr 2014, 21:21
Expert's post
UlisesOrdonez wrote:
Dear experts, please help!

What is the Probability of tossing a coin five times and having heads appear at least two times?


I tríed to solve it similar like the following but it seems different.

What is the Probability of a coin being tossed three times in a two and landing on heads at least one time?

Landing tails the three times: 1/8

Landing heads at least one time:
1-1/8= 7/8

??

Thanks always for your help!!

Posted from my mobile device Image


Total there are 2*2*2*2*2 = 32 outcomes

P(At least 2 Heads) = 1 - P(0 Heads) - P(1 Head)

P(0 Heads) = P(All Tails) = 1/32 (The only possible case is TTTTT)

P(1 Head) = (1/32)*5
You multiply by 5 because 1 Head can take 5 places: HTTTT, THTTT, TTHTT, TTTHT, TTTTH

P(At least 2 Heads) = 1 - 1/32 - 5/32 = 26/32
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Re: Probability, tossin a coin   [#permalink] 02 Apr 2014, 21:21
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