The ratio of boys to girls in a class is 2:3. If a student is chosen at random to be on the student council, what is the probability it will be a girl?
To find the probability of choosing a girl at random to be on the student council, we need to know the total number of students and the number of girls in the class.
Let's denote the ratio of boys to girls as 2:3. This means that for every 2 boys, there are 3 girls in the class.
To determine the total number of students in the class, we need more information. Let's say there are a total of 5 units in the ratio. Since the ratio is 2:3, we can divide the 5 units into two parts:
Boys: 2/5 * 5 = 2
Girls: 3/5 * 5 = 3
So, if the class has a total of 5 students, there would be 2 boys and 3 girls.
Now, if we assume a different total number of students, the ratio will still hold. For example, if there are 10 students in the class, there would be 4 boys and 6 girls. If there are 15 students, there would be 6 boys and 9 girls, and so on.
To calculate the probability of choosing a girl at random, divide the number of girls by the total number of students. Let's denote the total number of students as 'T' and the number of girls as 'G.'
Probability of choosing a girl = Number of girls / Total number of students = G / T
However, without knowing the specific number of students in the class, we cannot determine the exact probability. We need this missing information to provide a precise answer.
number of boys --- 2x
number of girls --- 3x
total number of students = 5x
prob (girl) = 3x/5x = 3/5