Talia tossed a penny many times. She got 20 heads and 55 tails. She said the experimental probability of getting heads was
20
55
. Explain and correct her error by completing the sentence. Enter your answer as a simplified fraction.

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Answer:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

[tex] n = 20 +55=75[/tex]

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

[tex] p =\frac{Possible}{total}[/tex]

And the correct way would be:

[tex] p =\frac{20}{20+55}=\frac{20}{75}[/tex]

If we simplify we got:

[tex] p =\frac{4}{15}[/tex]

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got [tex]\frac{20}{55}[/tex]

Step-by-step explanation:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

[tex] n = 20 +55=75[/tex]

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

[tex] p =\frac{Possible}{total}[/tex]

And the correct way would be:

[tex] p =\frac{20}{20+55}=\frac{20}{75}[/tex]

If we simplify we got:

[tex] p =\frac{4}{15}[/tex]

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got [tex]\frac{20}{55}[/tex]

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