Question

Students made a survey to see what school mascots students would like. They surveyed 10 students from each class and asked each student to choose a mascot out of 5 options. 8 liked the first option, 5 liked the second, 12 liked the third, 7 liked the fourth, and 3 liked the fifth option. Is this an example of theoretical or experimental probability? How did you get your answer?​

Answer 1

This situation is an example of experimental probability. The probability of each option being chosen can be calculated based on the number of students who liked each option divided by the total number of students surveyed.

Step-by-step explanation:

This situation is an example of experimental probability. Experimental probability is based on actual data collected from experiments or surveys.

To calculate the experimental probability, we need to find the number of students who liked each option and divide it by the total number of students surveyed.

The experimental probability for each option is as follows:

• First option: 8 out of 10 students liked it, so the experimental probability is 8/10 = 0.8
• Second option: 5 out of 10 students liked it, so the experimental probability is 5/10 = 0.5
• Third option: 12 out of 10 students liked it, so the experimental probability is 12/10 = 1.2
• Fourth option: 7 out of 10 students liked it, so the experimental probability is 7/10 = 0.7
• Fifth option: 3 out of 10 students liked it, so the experimental probability is 3/10 = 0.3

Experimental probability can vary from the theoretical probability, which is calculated based on the assumption of equally likely outcomes. In this case, the theoretical probability would assume that each option has a 1/5 chance of being chosen.