Final answer:
To simulate the number of students who forget their pencils with a 20% chance, a random number generator can be used for each of the 30 students. The expected number based on probability is approximately 6 students, but the actual simulated number may vary.
Step-by-step explanation:
The question involves using a probability simulation to determine how many students in a class of 30 might forget their pencil, given that the probability of a student forgetting a pencil is 20%. To simulate this scenario, you could use random numbers or a random number generator to represent the outcome for each of the 30 students. Let's say if we consider numbers 1-100 and assign 1-20 to represent a student forgetting a pencil, we can simulate the situation 30 times for each student.
To illustrate, if you generated the following sequence of numbers: 18, 4, 22, 97, 50... etc. for all 30 students, you would count how many numbers fall between 1 and 20 to represent students forgetting their pencils.
Based on the probability of 20%, we would expect about 20% of the 30 students, which is 6 students, to forget their pencils. However, the actual simulation might give you a number close to this, but not necessarily exactly 6, due to the randomness of each trial.