Question

There are 30 students in class. The probability that a student forgets a pencil is 20%. Use line 125 to simulate the 30 students in class and show how many forgot their pencil.

A) 8 students

B) 10 students

C) 15 students

D) 20 students

Answer 1

To simulate how many students forgot their pencil, we can use a random number generator or table of random numbers. The probability of a student forgetting a pencil is 20%, so we can simulate each student by generating a random number between 0 and 1. If the random number is less than or equal to 0.2, we consider the student to have forgotten their pencil. By repeating this process for all 30 students and counting how many of them forgot their pencil, we can determine the number of students who forgot their pencil.

Step-by-step explanation:

To simulate how many students forgot their pencil, we can use a random number generator or table of random numbers. Since the probability of a student forgetting a pencil is 20%, we can simulate each student by generating a random number between 0 and 1. If the random number is less than or equal to 0.2, we consider the student to have forgotten their pencil. We repeat this process for all 30 students and count how many of them forgot their pencil.

Let's simulate using Python code:

import random

students = 30
pencil_probability = 0.2
pencils_forgotten = 0

for i in range(students):
if random.random() <= pencil_probability:
pencils_forgotten += 1

print(f'Number of students who forgot their pencil: {pencils_forgotten}')

When running this simulation, you will likely get a different result each time, but the answer should be close to the expected value which is 30 * 0.2 = 6. Therefore, the correct answer is B) 8 students.