Question

У лотереї розігрувалося 6 автомобілів, 18 мотоциклів і 42 велосипеди. Усього було випущено 3000 лотерейних білетів. Яка ймовірність: 1) виграти мотоцикл; 2) виграти який - небудь приз; 3) не виграти жодного призу?​

Answer 1

Всего 3000

Автомобилей 6

Мотоциклов 18

Велосипедов 42

1)

Вероятность выиграть мотоцикл:

18/3000 = 6/1000 = 0,006

2)

Всего призов:

6 + 18 + 42 = 66

Вероятность выиграть какой-нибудь приз:

66/3000 = 22/1000 = 0,022

3)

Билеты без выигрыша:

3000 - 66 = 2934

Вероятность не выиграть ни одного приза:

2934/3000 = 978/1000 = 0,978

Answer 2

Probability of Winning a Motorcycle

To calculate the probability of winning a motorcycle, we need to know the total number of motorcycle prizes and the total number of lottery tickets. In this case, there are 18 motorcycles and 3000 lottery tickets.

The probability of winning a motorcycle can be calculated by dividing the number of motorcycle prizes by the total number of lottery tickets:

Probability of winning a motorcycle = Number of motorcycle prizes / Total number of lottery tickets

Substituting the values, we get:

Probability of winning a motorcycle = 18 / 3000

Calculating this, we find that the probability of winning a motorcycle is approximately 0.006, or 0.6%.

Probability of Winning Any Prize

To calculate the probability of winning any prize, we need to consider the total number of prizes available. In this case, there are 6 cars, 18 motorcycles, and 42 bicycles, for a total of 66 prizes.

The probability of winning any prize can be calculated by dividing the number of prizes by the total number of lottery tickets:

Probability of winning any prize = Number of prizes / Total number of lottery tickets

Substituting the values, we get:

Probability of winning any prize = 66 / 3000

Calculating this, we find that the probability of winning any prize is approximately 0.022, or 2.2%.

Probability of Not Winning Any Prize

To calculate the probability of not winning any prize, we need to subtract the probability of winning any prize from 1. In this case, the probability of winning any prize is 0.022, so the probability of not winning any prize is:

Probability of not winning any prize = 1 - Probability of winning any prize

Substituting the value, we get:

Probability of not winning any prize = 1 - 0.022

Calculating this, we find that the probability of not winning any prize is approximately 0.978, or 97.8%.

Please note that these calculations assume that each lottery ticket has an equal chance of winning and that the prizes are distributed randomly among the tickets.