in a class of 28 students, each student has a 90% chance of attending any given class and student act independently. what is the probability that tomorrow's class has perfect attendance?

To find the probability of perfect attendance in tomorrow's class, we need to calculate the probability that each student attends the class.

Given that each student has a 90% chance of attending any given class, the probability of a student attending is 0.9 (or 90%). Therefore, the probability of a student not attending is 1 – 0.9 = 0.1 (or 10%).

Since the students' actions are independent, we can multiply the probabilities together. To find the probability that all 28 students attend the class, we multiply the individual probabilities of each student attending:

P(perfect attendance) = P(student 1 attends) * P(student 2 attends) * ... * P(student 28 attends)

= 0.9 * 0.9 * ... * 0.9 (28 times)

= 0.9^28

Using a calculator, we can find that 0.9^28 ≈ 0.0911.

Therefore, the probability that tomorrow's class has perfect attendance is approximately 0.0911, or 9.11%.