Question

5. There are 20 random box lunches at a conference for teachers. They are all the same except 10 ofthe lunches have peanut butter cookies, 5 have snicker doodle cookies, and the last 5 boxes havechocolate chip. Knowing this a math teacher realizes that he has a 25% chance of randomlypicking a box with a chocolate chip cookie. What type of probability did the teacher use?A. Authentic ProbabilityB. Subjective ProbabilityC. Empirical ProbabilityD. Theoretical Probability

Answer 1

It is given that there are 20 lunchboxes, 10 of the lunches have peanut butter cookies, 5 have snicker doodle cookies, and the last 5 boxes have chocolate chip.

The formula that the math teacher used is:

$P(A)=\frac{n(A)}{n(S)}$

Here event A is getting chocolate chip cookies, n(A)=5 is the total number of cases with chocolate chip cookies and n(S) is total number of lunchboxes so it follows:

$P(A)=\frac{5}{20}=\frac{1}{4}$

Now 1/4 is 25% and the formula is of theorotical probability.

Option D is correct.