Question

Номер машины, состоящий из трёх цифр, может начинаться с нулей (кроме 000). Миша поспорил с мамой на шоколадку, что он выйдет на балкон и увидит, что паркуется машина с номером, в котором хотя бы одно число, записанное одной из цифр в номере, делится нацело на 4. С какой вероятностью Миша получит шоколадку? а) 343/999; б) 38/111; в) 82/125; г) 656/999; д) 1/2.

Answer 1

1/2///вероятно такое решение.....

Answer 2

наверно решение вариант д) 1/2

 

 

Answer 3

Probability of Winning the Chocolate Bar Bet

To calculate the probability of Misha winning the chocolate bar bet, we need to determine the number of three-digit numbers that have at least one digit divisible by 4.

Let's break down the problem step by step:

1. Total number of three-digit numbers: There are 900 three-digit numbers from 100 to 999 (inclusive).

2. Numbers divisible by 4: To find the numbers divisible by 4, we need to consider the possible combinations of the last two digits. Since the last two digits can range from 00 to 99, we have 100 possible combinations.

3. Numbers with at least one digit divisible by 4: To find the numbers with at least one digit divisible by 4, we need to subtract the numbers that have no digits divisible by 4 from the total number of three-digit numbers.

- Numbers with no digits divisible by 4: There are 6 possible combinations for each digit (0, 1, 2, 3, 5, 6, 7, 8, 9). Therefore, there are 6 * 6 * 6 = 216 three-digit numbers with no digits divisible by 4.

- Numbers with at least one digit divisible by 4: Subtracting the numbers with no digits divisible by 4 from the total number of three-digit numbers, we get 900 - 216 = 684 three-digit numbers with at least one digit divisible by 4.

4. Probability of winning the bet: To calculate the probability, we divide the number of favorable outcomes (numbers with at least one digit divisible by 4) by the total number of possible outcomes (total number of three-digit numbers).

- Probability = Number of favorable outcomes / Total number of possible outcomes - Probability = 684 / 900 - Probability = 76/100 or 38/50

Therefore, the correct answer is б) 38/111.