
)Дано 6 карточек с буквами (Н О К А Т Р).Карточки перемешивают и вытаскивают одну за другой
наугад.Найти вероятность То что получится слово КАРТОН если карточки распологаются в ряд в порядке появления.

Ответы на вопрос




Probability of Getting the Word "КАРТОН" from 6 Randomly Drawn Cards
To find the probability of getting the word "КАРТОН" from 6 randomly drawn cards, we need to consider the number of favorable outcomes (getting the word "КАРТОН") and the total number of possible outcomes (all the different ways the 6 cards can be arranged).
Let's break down the problem step by step:
1. Determine the number of favorable outcomes: - The word "КАРТОН" has 6 letters, so we need to draw the cards in the order of the letters in the word. - The first card must be a "К". - The second card must be an "А". - The third card must be an "Р". - The fourth card must be a "Т". - The fifth card must be an "О". - The sixth card must be an "Н". - Therefore, there is only one favorable outcome, which is getting the cards in the order of the letters in the word "КАРТОН".
2. Determine the total number of possible outcomes: - We have 6 cards to draw, and each card can be one of the 6 letters (Н, О, К, А, Т, Р). - Since the cards are drawn one after another, the total number of possible outcomes is calculated by multiplying the number of choices for each card. - Therefore, the total number of possible outcomes is 6 x 6 x 6 x 6 x 6 x 6 = 46656.
3. Calculate the probability: - The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. - In this case, the probability of getting the word "КАРТОН" is 1/46656.
So, the probability of getting the word "КАРТОН" when drawing 6 cards in order is 1/46656.


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