123iamthe1 123iamthe1
  • 03-06-2019
  • Mathematics
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We flip a fair coin 10 times. What is the probability that we get heads in exactly 8 of the 10 flips?

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DeanR
DeanR DeanR
  • 03-06-2019

There are [tex]2^{10}[/tex] possible outcomes when flipping 10 coins.  Of those  [tex] {10 \choose 8} [/tex]  have exactly 8 heads.   So the probability is

[tex]p = \dfrac{ {10 \choose 8} }{ 2^{10} } = \dfrac{10(9)/2}{2^{10}}=\dfrac{45}{1024}[/tex]

Answer: 45/1024

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