Answer :
The probability of a student being a girl and wrestling is approximately 0.024, indicating a 2.4% chance that a randomly chosen student is a girl who participates in wrestling.
Identify the total number of students. There are 123 students in total.
Identify the number of girls. There are 45 girls.
Identify the number of girls who wrestle. There are 3 girls who wrestle.
Calculate the probability that a student is a girl. This is the number of girls divided by the total number of students: 45 / 123
Calculate the probability that a girl wrestles. This is the number of girls who wrestle divided by the number of girls: 3 / 45
Multiply the two probabilities. This gives you the probability that a student is both a girl and wrestles: (45/123) * (3/45) = 3/123, which is approximately 0.024.
Therefore, the probability of a student being a girl and wrestling is approximately 0.024.
