Question

Всего в корзине 60 кнопок: 13 синих, 15 зеленых, 12 красных, остальные - черные. Найдите вероятность того, что одна из кнопок, случайно удаленных из корзины, черная. ​

Answer 1

Ответ:

1/3

Объяснение:

Определим количество чёрных кнопок:

60-13-15-12=60-40=20.

Если А - событие, что удаление одной чёрной кнопки из корзины, то

вероятность равна

P(A) = 20/60 = 1/3.

Answer 2

Calculating the Probability of Drawing a Black Button

To calculate the probability of drawing a black button from the basket, we can use the following formula:

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

Given: - Total buttons in the basket = 60 - Number of black buttons = Total buttons - (Number of blue + Number of green + Number of red buttons)

Let's calculate the probability step by step.

1. Calculate the number of black buttons: - Number of blue buttons = 13 - Number of green buttons = 15 - Number of red buttons = 12 - Number of black buttons = Total buttons - (Number of blue + Number of green + Number of red buttons)

Number of black buttons = 60 - (13 + 15 + 12) = 60 - 40 = 20

2. Calculate the probability: - Total number of possible outcomes = Total buttons in the basket = 60 - Number of favorable outcomes (drawing a black button) = Number of black buttons = 20

Probability (P) = Number of favorable outcomes / Total number of possible outcomes Probability (P) = 20 / 60 Probability (P) = 1 / 3

Therefore, the probability of drawing a black button, randomly removed from the basket, is 1/3.

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