Question

FreshmenSophomoreTotal4624Below, the two-way table is given for aclass of students.Juniors SeniorsMale2Female 36 3TotalIf a student is selected at random, find theprobability the student is a freshman. Roundto the nearest whole percent.[?]%

Answer 1

Given data from the table.

Total possible outcomes = 4 + 3 + 6 + 4 + 2 + 6 + 2 + 3 = 30

Number of required outcomes (Freshman) = 4 + 3 = 7

`\begin{gathered} \text{Probability of an event = }\frac{N\text{umber of required outcomes}}{N\text{umber of total posible outcomes}} \\ =\text{ }(7)/(30) \\ In\text{ percentage} \\ =\text{ }(7)/(30)\text{ }*\text{ 100\%} \\ =\text{ }(700)/(30) \\ =\text{ 23.33\%} \\ =\text{ 23\% } \end{gathered}`