If a coin is flipped 10 times, what is the probability that it will show all heads or all tails?
1/2
1/512
1/1,022
1/1,024
1/2,048
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OpenStudy (misty1212):
HI!!
OpenStudy (anonymous):
1/2 on everyone chance. But there are 10 chances to get only heads or only tails. So multiply 1/2 by itself 10 times.
OpenStudy (anonymous):
or (1/2)^10
OpenStudy (misty1212):
the denominator should be \(2^{10}\) for each
all heads \(\frac{1}{2^{10}}\) all tails \(\frac{1}{2^{10}}\) add and get \[\frac{2}{2^{10}}=\frac{1}{2^9}\]
OpenStudy (anonymous):
I got a crazy decimal.
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OpenStudy (misty1212):
lol look at your answer choices
see any decimals?
OpenStudy (anonymous):
because its a really small fraction
OpenStudy (misty1212):
compute \(2^9\) put that in the denominator
OpenStudy (anonymous):
Ohh so it's c?
OpenStudy (misty1212):
usually is C
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OpenStudy (anonymous):
xD Thank you :)
OpenStudy (misty1212):
but not this time!!
OpenStudy (anonymous):
But i just checked it.
OpenStudy (misty1212):
\[2^{10}=1024\] but you want
\[2^9\]
OpenStudy (misty1212):
all heads OR all tails
two choices
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OpenStudy (anonymous):
oh, so what do I do? 2^9?
OpenStudy (anonymous):
@misty1212 ?
OpenStudy (anonymous):
I think she is saying put 2^9 as the denominator.
OpenStudy (anonymous):
Okay, so when I did 2^9 in my calculator, i got 512, so would the answer be 1/512?
OpenStudy (anonymous):
Yes
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