Question

В лифт 17 этажного дома зашли 4 человека. Какова вероятность, что все выйдут на одном и том же этаже?

Answer 1

Первый этаж можно не считать, остается 16. 4 человека из 16 этажей - 4/16 = 1/4 = 25%

Answer 2

Calculating the Probability of Everyone Exiting on the Same Floor

To calculate the probability of all four people exiting the elevator on the same floor, we can use the concept of combinations and permutations.

Using Combinations to Calculate the Probability

The probability of all four people exiting on the same floor can be calculated using combinations. The total number of ways for the four people to exit on different floors is 17^4, as each person has 17 choices for the floor to exit on. The number of ways for all four people to exit on the same floor is 17, as there is only one floor they can all exit on.

Using the formula for combinations: The probability P of all four people exiting on the same floor is given by: P = (Number of favorable outcomes) / (Total number of outcomes)

Calculating the probability: P = 17 / 17^4

Calculating the Probability

Let's calculate the probability using the given formula.

Probability: P = 17 / 83521 P ≈ 0.0002038

So, the probability that all four people will exit the elevator on the same floor is approximately 0.02038%.