Probability of every coin displaying HEAD if a coin is tossed 12 times
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Solution 1
Hint: What is the probability of one toss resulting in heads? How do you compute the probability of success in two independent events? How about twelve?
Solution 2
Hint: The propbability of $n$ independant events each having probability $p$ occuring is $p^n$.
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Shailesh
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Updated on July 29, 2022Comments
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Shailesh over 1 year
What is the probability of every coin displaying HEAD if a coin is tossed 12 times. Is it $\frac{1}{12}$ or $\frac{1}{1024}$?
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ronno almost 10 yearsWhy do you think either of those two numbers is the answer?
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Shailesh almost 10 yearsOkay ..Actually i have 3 options in test paper .last 1 was none of them .Can u solve the query
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ronno almost 10 yearsIn any case, do you want the probability of every toss resulting in heads or at least one toss resulting in heads, or something in between?
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Shailesh almost 10 yearsevery toss resulting in heads o
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Frenzy Li over 6 yearsPossible duplicate of If a coin tossed for 3 times what is the probability of getting all tails?
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Don Larynx almost 10 yearsThis doesn't answer OP's question. The probability of 1 head appearing in 12 tosses is certainly not $\frac{1}{2^{12}}$.
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Shailesh almost 10 yearsYes i think u r right
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ronno almost 10 years@DonLarynx, actually, it does, see OP's comments to the question.
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Don Larynx almost 10 yearsAh okay. My apologies.
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MPW almost 10 yearsAnd so the probability of any specified sequence of outcomes in tossing a fair coin 12 times is $1/2^{12}$. Nothing special about all HEADS.