Question

the two - way table shows the estimated number of students who will enroll in three area high schools next year.

	tenth grade	eleventh grade	twelfth grade	total
valley high school	180	150	120	450
riverside high school	160	140	200	500
total	450	410	400	1260

in decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?
○ 0.2
○ 0.3
○ 0.4
○ 0.5

Explanation:

Step1: Identify relevant data

For Riverside High School, the number of twelfth - grade students is 200, and the total number of students in Riverside High School is 500.

Step2: Calculate the probability

The probability \( P \) that a randomly selected Riverside High School student is in twelfth grade is given by the formula \( P=\frac{\text{Number of twelfth - grade students in Riverside High School}}{\text{Total number of students in Riverside High School}} \).
Substitute the values: \( P = \frac{200}{500}=0.4 \)

Answer:

0.4 (corresponding to the option "0.4")