Question

g.pr.10.1 (lc)

a survey was taken to find the favorite sports of high school sophomores. the results are below. find \\(p\text{(male and basketball)}\\).

	volleyball	football	basketball	soccer	total
male	18	48	30	29	125
total	63	70	65	52	250

• \\(\frac{19}{25}\\)
• \\(\frac{3}{25}\\)
• \\(\frac{7}{13}\\)
• \\(\frac{7}{50}\\)

Explanation:

Identify the joint frequency and grand total

$$
LATEXBLOCK0
$$

Calculate the probability

$$ P(\text{Male and Basketball}) = \frac{30}{250} = \frac{3}{25} $$

Convert to percentage

$$ \frac{3}{25} \times 100\% = 12\% $$

Answer:

• (A) \(\frac{19}{25}\)
• (B) \(\frac{3}{25}\) (or \(12\%\)) (Correct answer)
• (C) \(\frac{7}{13}\)
• (D) \(\frac{7}{50}\)