Question

Below, the two-way table is given for a classof students.FreshmenSophomore Juniors Seniors TotalMale4622Female 3463TotalIf a male student is selected at random, what is theprobability the student is a freshman.

Answer 1

Answer:

29%

Explanations:

Probability is the likelihood or chance that ab event will occur. Mathematically;

Probability = Expected/Total

From the given table, the total number of male student is the total outcome as shown:

Total outcome = 4 +6+ 2 + 2

Total outcome = 14

If a male freshmen is selected at random, the expected outcome will be 4.

Determine the probability

$\begin{gathered} Pr(Freshman\text{ \mid Male})=\frac{Male\text{ freshmen}}{Total\text{ male studnt}} \\ Pr(Freshman\text{ \mid Male})=\frac{4}{14} \\ Pr(Freshman\text{ \mid Male})=0.2857\times100 \\ Pr(Freshman\text{ \mid Male})\approx29\% \\ \end{gathered}$

Hence the probability that the male student is freshman is approximately 29%