Question

Срочно!!! Помогите , пожалуйста,дам 50 баллов!!!! Найдите вероятность того, что случайно выбранное трёхзначное число делится на 43.

Answer 1

Для начала нужно определить сколько всего 3-ых чисел имеют делить 43

1000÷43≈23⇒23 числа от 1 до 1000 имеют делитель 43

100÷43≈2 ⇒2 числа от 1 до 100 имеют делитель 43

23-2=21 3-ых числа имеют делитель 43

Всего 3-ых чисел 900

P(A)=m/n=21/900=7/300

Answer 2

Probability of a randomly chosen three-digit number being divisible by 43

To find the probability of a randomly chosen three-digit number being divisible by 43, we need to determine the total number of three-digit numbers and the number of three-digit numbers that are divisible by 43.

Total number of three-digit numbers: A three-digit number can range from 100 to 999. Therefore, the total number of three-digit numbers is 999 - 100 + 1 = 900.

Number of three-digit numbers divisible by 43: To find the number of three-digit numbers that are divisible by 43, we need to determine the smallest three-digit number divisible by 43 and the largest three-digit number divisible by 43.

The smallest three-digit number divisible by 43 is 100, and the largest three-digit number divisible by 43 is 999. We can find the number of three-digit numbers divisible by 43 by calculating the difference between the largest and smallest numbers and dividing it by 43.

999 - 100 = 899 899 / 43 = 20 remainder 19

Therefore, there are 20 three-digit numbers divisible by 43.

Calculating the probability: To calculate the probability, we divide the number of three-digit numbers divisible by 43 by the total number of three-digit numbers.

Probability = Number of three-digit numbers divisible by 43 / Total number of three-digit numbers

Probability = 20 / 900

Simplifying the fraction, we get:

Probability = 1 / 45

Therefore, the probability of a randomly chosen three-digit number being divisible by 43 is 1/45.

Please note that the calculation assumes an equal probability distribution for all three-digit numbers.