Question

An advisor looks over the schedules of his 50 students to seehow many math and science courses each has registerd for in thecoming semester. He summarized his results in a table.

Number of math courses, X
0 1 2
Number 0 11 6 4
of science
courses,Y 1 9 10 3
2 5 0 2

What is theprobability that a student selected at ramdom will have signed upfor more math courses than science courses?

Answer 1

To find the probability that a student selected at random will have signed up for more math courses than science courses, we need to calculate the number of students who have signed up for more math courses and divide it by the total number of students.

Step-by-step explanation:

To find the probability that a student selected at random will have signed up for more math courses than science courses, we need to calculate the number of students who have signed up for more math courses and divide it by the total number of students.

From the table, we can see that there are 4 students who have signed up for 0 science courses, 9 students who have signed up for 1 science course, 10 students who have signed up for 2 science courses, and 2 students who have signed up for 3 science courses. Therefore, there are a total of 25 students who have signed up for more math courses than science courses.

So, the probability is calculated as:

Probability = Number of students with more math courses / Total number of students = 25 / 50 = 0.5