Questions: В урне 6 зелёных шаров, 10 синих, 12 красных и 10 жёлтых. Найди вероятность того, что из урны будет извлечён зелёный или синий шар. 1) Сначала запиши ответ в виде несократимой обыкновенной дроби: вероятность извлечения зелёного или синего шара равна 2) Округли результат до сотых: Ответ:

Solution Steps

To find the probability of drawing a green or blue ball from the urn, we need to determine the total number of balls and the number of favorable outcomes (green or blue balls). The probability is the ratio of the number of favorable outcomes to the total number of outcomes. We will then simplify this fraction and round the result to two decimal places.

The total number of balls in the urn is given by the sum of all colored balls: \[ \text{Total balls} = 6 + 10 + 12 + 10 = 38 \]

The number of favorable outcomes, which includes green and blue balls, is: \[ \text{Favorable outcomes} = 6 + 10 = 16 \]

The probability \( P \) of drawing a green or blue ball is given by the ratio of favorable outcomes to total outcomes: \[ P = \frac{\text{Favorable outcomes}}{\text{Total balls}} = \frac{16}{38} \] This fraction can be simplified: \[ P = \frac{8}{19} \]

The decimal representation of the probability rounded to two decimal places is: \[ P \approx 0.42 \]

Final Answer