Question

Giving a test to a group of students, the grades and gender are summarized below ABCTotalMale321419Female542029Total863448If one student is chosen at random,Find the probability that the student was male OR got a/an "C". Round to at least 3 decimal places.

Answer 1

Answer:

0.813

Explanations:

Probability is the likelihood or chance that an event will occur. The probability that the student was male OR got a/an "C" is as shown:

P(male or a C) = Pr(male) + Pr(C) - Pr(male and C)

Pr(male U C) = Pr(male) + Pr(C) - Pr(male n C)

Given the following probabilities

$\begin{gathered} Pr(male)=\frac{19}{48} \\ Pr(C)=\frac{34}{48} \\ Pr(male\text{ U C})=\frac{14}{48} \end{gathered}$

Substitute the probability to have:

$\begin{gathered} Pr(male\text{ }U\text{ C})=\frac{19}{48}+\frac{34}{48}-\frac{14}{48} \\ Pr(male\text{ }U\text{ C})=\frac{19+34-14}{48} \\ Pr(male\text{ }U\text{ C})=\frac{39}{48} \\ Pr(male\text{ }U\text{ C})=\frac{13}{16} \\ Pr(male\text{ }U\text{ C})=0.813 \end{gathered}$

Hence the probability that the student was male OR got a/an "C" is 0.813