Respuesta :

Answer: [tex]\frac{511}{512}[/tex]

Explanation:

Let A represent "getting at least one head in 9 tosses"

Then   is "getting no heads in 9 tosses"

P(A) = 1 - P(Â)

 only occurs when all tosses are tails (TTT TTT TTT), so there is only one option of getting no heads.

There are a total of 2⁹ possible outcomes.

So, P(A) = 1 - [tex]\frac{1}{2^{9}}[/tex]

             =  [tex]\frac{2^{9}}{2^{9}}[/tex] - [tex]\frac{1}{2^{9}}[/tex]

            =  [tex]\frac{2^{9}-1}{2^{9}}[/tex]

             = [tex]\frac{511}{512}[/tex]