Question

Рассчитайте вероятность того, что в тщательно перемешанной колоде из 36 карт 2 верхние карты окажутся туз и король одной масти.

Answer 1

Ответ:

1/315

Пошаговое объяснение:

Событие А-первая карта туз. Событие В- вторая карта король той же масти что и первая карта. Событие С-2 верхние карты окажутся туз и король одной масти.

Вероятность того что из 36 карт первая будет одна карта из 4-х тузов

P(A)=4/36=1/9

Осталось 35 карты. Вероятность того что второй картой окажется единственный король той масти которой выпал туз

P(B)=1/35

P(C)=P(A)P(B)=(1/9)(1/35)=1/315

Answer 2

#### Calculating the Probability of Drawing an Ace and a King of the Same Suit To calculate the probability of drawing an Ace and a King of the same suit from a thoroughly shuffled deck of 36 cards, we need to consider the total number of possible outcomes and the number of favorable outcomes. 1. Total Number of Possible Outcomes: - In a thoroughly shuffled deck of 36 cards, there are a total of 36 cards. 2. Number of Favorable Outcomes: - To calculate the number of favorable outcomes, we need to consider the number of Aces and Kings in the deck and the number of suits. - In a standard deck of 36 cards, there are 4 suits (hearts, diamonds, clubs, and spades). - Each suit contains one Ace and one King, so there are a total of 4 Aces and 4 Kings in the deck. - Since we want to draw an Ace and a King of the same suit, we need to choose one suit out of the 4 available suits. - Therefore, the number of favorable outcomes is 4. 3. Calculating the Probability: - The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. - In this case, the probability of drawing an Ace and a King of the same suit from a thoroughly shuffled deck of 36 cards is: **Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes** **Probability = 4 / 36** Simplifying the fraction, we get: **Probability = 1 / 9** Therefore, the probability of drawing an Ace and a King of the same suit from a thoroughly shuffled deck of 36 cards is **1/9**.