Question

Samantha took a survey of the students in her grade to see how many are likely to join a knitting club if she starts one. She surveyed 24 students, and 12 said they would join. If there are 300 students in her grade, about how many students would you expect to join the knitting club?

Answer 1

Answer:

150 students are expected to join the knitting club

Step-by-step explanation:

Here is an experimental probability question. We are trying to move from the specific to the general case.

Firstly, we need to calculate the probability that a student will join the knitting club given the pointers we can obtain from the survey.

From the survey, 12 will join out if 24. Thus, this probability is equal to 12/24 = 1/2

Now in a case where we are having 300 students, our probability still stands. What we now need to look for is that number out of 300 that will give us the 1/2 probability we had earlier.

Mathematically, that is equal to 1/2 * 300 = 150 students