Question

Рядом находятся два банкомата. каждый из них может быть неисправен с вероятностью 0,1 независимо от другого. найдите вероятность того, что хотя бы один из этих банкоматов исправен.

Answer 1

Вероятность того, что оба банкомата неисправны, равна 0.1*0.1=0.01. 
Значит, вероятность того, что это не так и исправен хотя бы один банкомат, равна 1-0.01=0.99

Answer 2

Problem Analysis

We are given two ATMs, and each ATM can be faulty with a probability of 0.1 independently of the other. We need to find the probability that at least one of the ATMs is working.

Solution

To find the probability that at least one of the ATMs is working, we can use the complement rule. The complement of the event "at least one ATM is working" is the event "both ATMs are faulty." Therefore, we can find the probability of the complement event and subtract it from 1 to get the desired probability.

Let's calculate the probability of both ATMs being faulty first. Since the probability of each ATM being faulty is 0.1, the probability of both ATMs being faulty is the product of their individual probabilities of being faulty:

Probability of both ATMs being faulty = 0.1 * 0.1 = 0.01

Now, we can find the probability of at least one ATM being working by subtracting the probability of both ATMs being faulty from 1:

Probability of at least one ATM being working = 1 - Probability of both ATMs being faulty = 1 - 0.01 = 0.99

Therefore, the probability that at least one of the ATMs is working is 0.99.