unicornetfairies
unicornetfairies unicornetfairies
  • 10-02-2022
  • Mathematics
contestada

Luke throws a fair coin n times

Find an expression, in terms of n, for the probability that Luke gets at least 1 head and at least 1 tail. ​

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fieryanswererft
fieryanswererft fieryanswererft
  • 10-02-2022

Answer:

[tex]\frac{n^{2} }{4}[/tex]

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]

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