Question

Conditional Probability Question 6Mr. Woosley is assigning group projects to 24 students. Toform the groups, each student will randomly select a slip ofpaper with the name of a continent on it from a bag. Thestudent will keep the stip of paper. The number of slips ofpaper in the bag with each continent name is shown below.Africa -6Asia-8Australia4Europe -6What is the probability that a student in Mr. Woosley's classwill not be assigned a project on Australia?Select oneoO $0O

Answer 1

From the question, we have the total number of students as 24.

So from here, we have that 4 student have a chance of being assigned Australia. So probability that a student will be assigned Australia should be

`\begin{gathered} \frac{expected\text{ outcome}}{total\text{ outcome}} \\ =(4)/(24) \\ =(1)/(6) \end{gathered}`

So the probability that a student will not be assigned a project on Australia becomes

`\begin{gathered} 1-probability\text{ that the student will be assigned australia} \\ =1-(1)/(6) \\ =(5)/(6) \end{gathered}`

Hence the last option is the correct answer