if there are 19 boys and 24 girls in the math class. 10 boys and 15 girls are freshman. if you randomly choose a student, what is the probability that it will be a girl or freshman?
To find the probability that the randomly chosen student will be a girl or freshman, we need to find the total number of students who are girls or freshmen and divide it by the total number of students in the class.
1. Find the number of girls who are freshmen.
- We know that there are 15 girls who are freshmen.
2. Find the number of boys who are not freshmen.
- Subtract the number of boys who are freshmen from the total number of boys.
- Total boys - Boys who are freshmen = 19 - 10 = 9.
3. Find the number of girls who are not freshmen.
- Subtract the number of girls who are freshmen from the total number of girls.
- Total girls - Girls who are freshmen = 24 - 15 = 9.
4. Calculate the total number of students who are girls or freshmen.
- Add the number of girls who are freshmen to the number of boys who are not freshmen to get:
- Girls who are freshmen + Boys who are not freshmen = 15 + 9 = 24.
5. Calculate the total number of students in the class.
- Add the total number of boys and girls to get:
- Boys + Girls = 19 + 24 = 43.
6. Calculate the probability.
- Probability = Number of students who are girls or freshmen / Total number of students
- Probability = 24 / 43.
Therefore, the probability that the randomly chosen student will be a girl or freshman is 24/43 (or approximately 0.558).
To find the probability of choosing a student who is a girl or a freshman, we first need to determine the total number of students in the math class who are either girls or freshmen.
Step 1: Calculate the number of girls who are not freshmen.
Total Number of Girls - Number of Freshman Girls = 24 - 15 = 9
Step 2: Calculate the number of boys who are not freshmen.
Total Number of Boys - Number of Freshman Boys = 19 - 10 = 9
Step 3: Calculate the total number of students who are either girls or freshmen.
Girls who are Freshmen + Boys who are Freshmen + Girls who are not Freshmen + Boys who are not Freshmen = 15 + 10 + 9 + 9 = 43
Step 4: Calculate the probability by dividing the total number of students who are either girls or freshmen by the total number of students in the class.
Probability = Total Number of Students who are either Girls or Freshmen / Total Number of Students in the Class
Probability = 43 / (19 + 24) = 43 / 43 = 1
Therefore, the probability of randomly choosing a student who is a girl or a freshman is 1, or 100%.