Question

Talia tossed a penny many times. She got 20 heads and 55 tails. She said the experimental probability of getting heads was

Answer 1

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:

$n = 20 +55=75$

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

$p =\frac{Possible}{total}$

And the correct way would be:

$p =\frac{20}{20+55}=\frac{20}{75}$

If we simplify we got:

$p =\frac{4}{15}$

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 $\frac{20}{55}$

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:

$n = 20 +55=75$

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

$p =\frac{Possible}{total}$

And the correct way would be:

$p =\frac{20}{20+55}=\frac{20}{75}$

If we simplify we got:

$p =\frac{4}{15}$

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 $\frac{20}{55}$