mr. larsen has a huge box of 200 paper clips in assorted sizes for the students in his classroom to use. he…

mr. larsen has a huge box of 200 paper clips in assorted sizes for the students in his classroom to use. he randomly selects 12 paper clips from the box and then puts them back. here are the sizes he selects: large, medium, large, large, small, medium, large, medium, small, large, small, medium. based on the data, what is the probability that the next paper clip mr. larsen selects will be large? write your answer as a fraction or whole number.

mr. larsen has a huge box of 200 paper clips in assorted sizes for the students in his classroom to use. he randomly selects 12 paper clips from the box and then puts them back. here are the sizes he selects: large, medium, large, large, small, medium, large, medium, small, large, small, medium. based on the data, what is the probability that the next paper clip mr. larsen selects will be large? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Count large paper - clips

Count the number of large paper - clips in the sample. In the sample of 12 paper - clips, the number of large paper - clips is 6.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (selecting a large paper - clip) is 6, and the total number of outcomes in the sample is 12. So, $P = \frac{6}{12}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$