Question

На вечеринке находятся 20 человек, какова вероятность того, что у кого-то из них совпадет день и месяц рождения?

Answer 1

Вероятность того что совпадет день и месяц рождения равна 0,1 %

Answer 2

Вероятность 0.1 % . решение выше

Answer 3

Calculating the Probability of Matching Birthdays at a Party

To calculate the probability of at least two people sharing the same birthday at a party with 20 people, we can use the concept of complementary events. The probability of at least two people sharing the same birthday is equal to 1 minus the probability that no two people share the same birthday.

The formula to calculate the probability of at least two people sharing the same birthday is given by:

P(at least 2 people have the same birthday) = 1 - P(no one shares the same birthday)

Calculating the Probability of No Shared Birthdays

The probability that no two people share the same birthday can be calculated using the following formula:

P(no one shares the same birthday) = (365/365) * (364/365) * (363/365) * ... * (365 - n + 1)/365

Where n is the number of people at the party (in this case, 20).

Applying the Formula

Let's apply the formula to calculate the probability.

The probability of no one sharing the same birthday is given by:

P(no one shares the same birthday) = (365/365) * (364/365) * (363/365) * ... * (365 - 20 + 1)/365

Now, we can calculate the probability of at least two people sharing the same birthday using the formula:

P(at least 2 people have the same birthday) = 1 - P(no one shares the same birthday)

By substituting the values, we can find the probability.

Conclusion

The probability of at least two people sharing the same birthday at a party with 20 people can be calculated using the above method.