Question

В Корзине находится 3 синих ,3 зеленых и 4 красных шаров. Какова вероятность при двух испытаниях достать 2 зеленых шара , если извлеченные шары не кладут обратно ?

Answer 1

1)3+3+4=7
2)7:2=3,5
Ответ: 3,5

Answer 2

Calculating the Probability of Drawing 2 Green Balls

To calculate the probability of drawing 2 green balls from the given scenario, we need to consider the total number of balls in the basket and the number of green balls available.

In the basket, there are: - 3 blue balls - 3 green balls - 4 red balls

Since the balls are not replaced after each draw, the total number of balls decreases by 1 after each draw.

To calculate the probability, we can use the formula:

P(2 green balls) = (Number of ways to draw 2 green balls) / (Total number of possible outcomes)

Let's calculate each part of the formula step by step.

1. Number of ways to draw 2 green balls: - In the first draw, there are 3 green balls out of a total of 10 balls. - After the first draw, there are 2 green balls left out of a total of 9 balls. - Therefore, the number of ways to draw 2 green balls is: 3/10 * 2/9 = 6/90 = 1/15.

2. Total number of possible outcomes: - In the first draw, there are 10 balls to choose from. - After the first draw, there are 9 balls left to choose from. - Therefore, the total number of possible outcomes is: 10/10 * 9/9 = 1.

Now, let's calculate the probability:

P(2 green balls) = (Number of ways to draw 2 green balls) / (Total number of possible outcomes) = (1/15) / 1 = 1/15

Therefore, the probability of drawing 2 green balls from the given scenario, without replacement, is 1/15.

Please note that the calculation assumes that the balls are indistinguishable and that the order of drawing the green balls does not matter.