Question

in a survey of students 60% were in high school in 40% were in middle school of the high school students 30% had visited a foreign country if a survey of student is selected at random what is the probability that the student is in high school and has visited a foreign country?

Answer 1

Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x = $\frac{60}{100}x$

Number of students in middle school = 40% of x = $\frac{40}{100}x$

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school = $\frac{30}{100}(\frac{60}{100})x=\frac{18}{100}x$

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students = $\frac{\frac{18}{100}x}{x}=\frac{18}{100}=0.18$