reyesjessica291
reyesjessica291 reyesjessica291
  • 21-04-2020
  • Mathematics
contestada

A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?

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katlin8982
katlin8982 katlin8982
  • 21-04-2020
17% chance I think.
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mirai123
mirai123 mirai123
  • 21-04-2020

Answer:

Once the number of possible heads and tail in 12 tosses is [tex]2^{12} =4096[/tex]

[tex]\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792[/tex]

So the probability of getting exactly  8  heads in  12  coin tosses is: [tex]\frac{792}{4096}[/tex]

Answer Link

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