Math Reasonings Solved Exercises
Exercise 12
A set has \(n\) different elements, and an element \(a\), different from the others, is added to it. If an element is randomly extracted from this latter set, what is the probability that the extracted element is \(a\)?
-
\(1\)
-
\( \cfrac{1}{n + 1} \)
-
\(n\)
-
\(0\)
-
\( \cfrac{1}{n} \)
Try to solve it before checking the answer.
\( \cfrac{1}{n + 1} \)
Indeed, The probability of picking element \(a\) is:
\[
\cfrac{
\text{Nº de resultados exitosos}
}{
\text{Nº de resultados posibles}
} = \boldsymbol{ \frac{1}{ n + 1 } }
\]
\cfrac{
\text{Nº de resultados exitosos}
}{
\text{Nº de resultados posibles}
} = \boldsymbol{ \frac{1}{ n + 1 } }
\]
\[
\cfrac{
\text{Number of successful outcomes}
}{
\text{Number of possible outcomes}
} = \boldsymbol{ \frac{1}{ n + 1 } }
\]
\cfrac{
\text{Number of successful outcomes}
}{
\text{Number of possible outcomes}
} = \boldsymbol{ \frac{1}{ n + 1 } }
\]