Question

36 students want to audition in a singing contest. The numbers of girls is 15. What is the probability that the random student that will be selected is a girl?

Answer 1

The probability that a randomly selected student from a group of 36 students, with 15 being girls, is a girl is calculated as 15/36, which simplifies to 5/12, or approximately 41.67%.

Step-by-step explanation:

The question asks what is the probability that a randomly selected student from a group of 36 students, of which 15 are girls, is a girl. To find this probability, we use the formula which is the number of favorable outcomes divided by the number of total possible outcomes. In this case, the favorable outcomes are the number of girls (15) and the total outcomes are the total number of students (36).

So the probability P that a randomly selected student is a girl is calculated as follows:

P = Number of Girls / Total Number of Students

P = 15 / 36

This fraction can be simplified by dividing both the numerator and the denominator by 3, resulting in:

P = 5 / 12

Therefore, the probability that a randomly selected student is a girl is 5/12, which can also be represented as a decimal (approximately 0.4167) or a percentage (approximately 41.67%).