
В лотерее на 50 билетов приходится 6 выигрышных. Найти вероятность выигрыша на один билет при
наличии 3-х билетов.

Ответы на вопрос




50х=6*3
50х=18
х=18:50
х=0,36
Ответ: вероятность выигрыша 36%



Calculating the Probability of Winning on One Ticket
To calculate the probability of winning on one ticket, we need to know the total number of tickets and the number of winning tickets.
In this case, there are 50 tickets in total, with 6 of them being winning tickets.
The probability of winning on one ticket can be calculated using the formula for the probability of a specific number of successes in a binomial distribution:
P(k) = C(n, k) * p^k * q^(n-k) (1)
Where: - P(k) is the probability of getting exactly k successes - C(n, k) is the number of combinations of n items taken k at a time - p is the probability of success on a single trial - q is the probability of failure on a single trial - n is the total number of trials
In this case, we want to find the probability of winning on one ticket, so k = 1.
Let's calculate the probability using the given values:
- n = 50 (total number of tickets) - k = 1 (number of winning tickets) - p = k/n = 1/50 (probability of winning on a single ticket) - q = 1 - p = 49/50 (probability of not winning on a single ticket)
Substituting these values into equation (1), we get:
P(1) = C(50, 1) * (1/50)^1 * (49/50)^(50-1)
Now, let's calculate the probability using the formula:
P(1) = 50 * (1/50) * (49/50)^49
Calculating this expression gives us the probability of winning on one ticket.
Please note that the exact value of the probability may depend on the rounding used in calculations.
Let me calculate it for you.


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