Question

В непрозрачной коробке лежат семь одинаковых на ощупь шариков: 4 белых, 2 синих и один красный. Наугад вынимается один шарик. Найдите вероятность следующих событий: Б) вынутый шарик белый С)вынутый шарик синий Д) из коробки вынут один шарик З) вынутый шарик зелёный К) из коробки вынут красный шарик Л) из коробки вынута лягушка.

Answer 1

Б) 4 (белых шарика) : 7 (шариков всего) = 0,57  (57%)
В) 2 (синих шарика) : 7 (шариков всего) = 0,29 (29%)
Д) Т.к. наугад вынимается ОДИН шарик, то в любом случае из коробки будет вынут один шарик. 1 (100%)
З) 0 (зелёных шариков нет совсем)  (0%)
К) 1 (красный шарик) : 7 (всего шариков) = 0,14 (14%)
Л) 0 (лягушек там нет совсем-совсем-совсем) (0%)

Answer 2

Probability of Events

To find the probability of each event, we need to determine the total number of possible outcomes and the number of favorable outcomes for each event.

Given: - There are 7 balls in the box: 4 white, 2 blue, and 1 red. - We will assume that there are no green balls in the box.

Let's calculate the probability for each event:

B) Probability of drawing a white ball:

There are 4 white balls in the box, so the number of favorable outcomes is 4. The total number of possible outcomes is 7 (the total number of balls in the box). Therefore, the probability of drawing a white ball is:

P(white) = favorable outcomes / total outcomes = 4/7 [[1]].

C) Probability of drawing a blue ball:

There are 2 blue balls in the box, so the number of favorable outcomes is 2. The total number of possible outcomes is still 7. Therefore, the probability of drawing a blue ball is:

P(blue) = favorable outcomes / total outcomes = 2/7 [[1]].

D) Probability of drawing any ball:

Since there are no green balls in the box, the probability of drawing a green ball is 0.

P(green) = 0.

K) Probability of drawing a red ball:

There is 1 red ball in the box, so the number of favorable outcomes is 1. The total number of possible outcomes is still 7. Therefore, the probability of drawing a red ball is:

P(red) = favorable outcomes / total outcomes = 1/7 [[1]].

L) Probability of drawing a frog:

Since there is no mention of frogs in the box, we can assume that there are no frogs in the box. Therefore, the probability of drawing a frog is 0.

P(frog) = 0.

Please let me know if there is anything else I can help you with!