Question

question 9 of 25

fairview high school has an anime (japanese animation) club that any student can attend. the relative frequency table shows the proportion of students in the high school who take japanese and/or are in the anime club.

\

$$\begin{tabular}{|c|c|c|c|} \\hline & take japanese & \\begin{tabular}{c} do not take \\\\ japanese \\end{tabular}$$

& total \\\\
\hline
in anime club & 0.15 & 0.01 & 0.16 \\\\
\hline
not in anime club & 0.05 & 0.79 & 0.84 \\\\
\hline
total & 0.20 & 0.80 & 1.0 \\\\
\hline
\end{tabular}

given that a student takes japanese, what is the likelihood that he or she is in the anime club?

a. 75%
b. 20%
c. about 94%
d. 15%

Explanation:

Identify the given condition and target event

$$
LATEXBLOCK0
$$

Extract probabilities from the relative frequency table

$$
LATEXBLOCK1
$$

Calculate the conditional probability

$$
LATEXBLOCK2
$$

Answer:

• (A) 75% (Correct answer)
• (B) 20%
• (C) About 94%
• (D) 15%