Question

for the holiday concert, ms. allegro will choose two soloists at random. one will come from the seventh grade and the other from the eighth grade. the members of the chorus are shown in the table below.

chorus members
\

$$\begin{tabular}{|c|c|c|} \\hline grade & boys & girls \\\\ \\hline 7th & 8 & 10 \\\\ \\hline 8th & 6 & 9 \\\\ \\hline \\end{tabular}$$

what is the probability that both soloists will be girls?

Explanation:

Calculate the probability of choosing a girl from the seventh grade

Using the Independent Events and Compound Probability knowledge points

$$
LATEXBLOCK0
$$

Calculate the probability of choosing a girl from the eighth grade

Using the Independent Events and Compound Probability knowledge points

$$
LATEXBLOCK1
$$

Calculate the compound probability that both soloists are girls

Using the Independent Events and Compound Probability knowledge points

$$
LATEXBLOCK2
$$

Answer:

• (A) \(\frac{8}{45}\)
• (B) \(\frac{1}{3}\) (Correct answer)
• (C) \(\frac{5}{16}\)
• (D) \(\frac{19}{33}\)