Question

Из колоды в 36 карт одновременно извлекают 6 карт. Найти вероятность того, что среди них будут король пиковой масти и пиковая дама.

Answer 1

Примерно где-то 0,456%

Answer 2

Probability of drawing a king of spades and a queen of spades from a deck of 36 cards

To find the probability of drawing a king of spades and a queen of spades from a deck of 36 cards, we need to determine the total number of favorable outcomes and the total number of possible outcomes.

In a standard deck of 36 cards, there are 4 kings and 4 queens. Since we are interested in the king of spades and the queen of spades specifically, there is only 1 king of spades and 1 queen of spades in the deck.

The total number of possible outcomes is the number of ways we can draw 6 cards from a deck of 36 cards. This can be calculated using the combination formula:

Total number of possible outcomes = C(36, 6)

The total number of favorable outcomes is the number of ways we can draw the king of spades and the queen of spades along with 4 other cards. This can be calculated as:

Total number of favorable outcomes = C(1, 1) * C(4, 4)

Now we can calculate the probability using the formula:

Probability = Total number of favorable outcomes / Total number of possible outcomes

Let's calculate the probability:

Total number of possible outcomes = C(36, 6) = 194,779

Total number of favorable outcomes = C(1, 1) * C(4, 4) = 1 * 1 = 1

Probability = 1 / 194,779 ≈ 0.00000513

Therefore, the probability of drawing a king of spades and a queen of spades from a deck of 36 cards is approximately 0.00000513 or 0.000513%.