Question

FIND THE INDICATED PROBABILITY A magazine did a survey to determine its readers favorite types of shoes favorite types of shoes wornSneaker boot Sandal. Other 54%. 16%. 20% 10% What is the probability that sandals will be the favorite shoe of the next reader

Answer 1

Given: The different types of shoes worn and their percentage

To Determine: The probability that sandals will be the favourites

Solution

Let us calculate the total percentage

`\begin{gathered} sneaker=54\% \\ boot=16\% \\ sandal=20\% \\ other=10\% \\ Total=100\% \end{gathered}`

Please note that the probability of an event A from a total occurence of S is calculated as

`\begin{gathered} P(A)=(n(A))/(n(S)) \\ P(A)=Probability\text{ of A} \\ n(A)=number\text{ of A} \\ n(S)=Total\text{ number of all occurence} \end{gathered}`

Therefore, the probability of favourites been sandal would be

`P(sandal)=(20\%)/(100\%)=(1)/(5)`

Hence, the probability is 1/5