Question

the table below shows the number of students who are signed up for algebra 2 and/or chemistry next year. find \\(p(\text{not algebra 2} \cap \text{not chemistry})\\).

number of students in algebra 2 and chemistry

	algebra 2	not algebra 2	total
not chemistry	260	70	330
total	360	120	480

• \\(\frac{7}{48}\\)
• \\(\frac{5}{12}\\)
• \\(\frac{5}{24}\\)
• \\(\frac{5}{48}\\)

Explanation:

Identify the target intersection and total from the table

$$
LATEXBLOCK0
$$

Calculate the probability

$$ P(\text{Not Algebra 2 } \cap \text{ Not Chemistry}) = \frac{70}{480} = \frac{7}{48} $$

Answer:

• (A) \(\frac{7}{48}\) (Correct answer)
• (B) \(\frac{5}{12}\)
• (C) \(\frac{5}{24}\)
• (D) \(\frac{5}{48}\)