Question

На одной карточке нарисован - окунь, на второй - щука, на третьей - воробей, на четвертой - скворец. Наугад выбираются 2 карточки. Какова вероятность того, что на карточках будут изображения двух рыб? двух птиц? рыбы и птицы?

Answer 1

Вероятность равна так как не знаеш чего ждать от судь бы если ты не предскозатель...

Answer 2

Probability of getting two fish cards

To calculate the probability of getting two fish cards, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In this scenario, there are four cards: one with a perch, one with a pike, one with a sparrow, and one with a starling. We randomly select two cards.

The total number of possible outcomes is the number of ways we can choose two cards out of four, which is given by the combination formula:

Total possible outcomes = C(4, 2) = 4! / (2! * (4-2)!) = 6

Now, let's determine the number of favorable outcomes, which is the number of ways we can choose two fish cards out of the four available fish cards (perch and pike):

Number of favorable outcomes = C(2, 2) = 2! / (2! * (2-2)!) = 1

Therefore, the probability of getting two fish cards is:

Probability of two fish cards = Number of favorable outcomes / Total possible outcomes = 1 / 6 = 1/6 ≈ 0.1667

Probability of getting two bird cards

Similarly, to calculate the probability of getting two bird cards, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In this scenario, there are four cards: one with a perch, one with a pike, one with a sparrow, and one with a starling. We randomly select two cards.

The total number of possible outcomes is the number of ways we can choose two cards out of four, which is given by the combination formula:

Total possible outcomes = C(4, 2) = 4! / (2! * (4-2)!) = 6

Now, let's determine the number of favorable outcomes, which is the number of ways we can choose two bird cards out of the two available bird cards (sparrow and starling):

Number of favorable outcomes = C(2, 2) = 2! / (2! * (2-2)!) = 1

Therefore, the probability of getting two bird cards is:

Probability of two bird cards = Number of favorable outcomes / Total possible outcomes = 1 / 6 = 1/6 ≈ 0.1667

Probability of getting one fish card and one bird card

To calculate the probability of getting one fish card and one bird card, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In this scenario, there are four cards: one with a perch, one with a pike, one with a sparrow, and one with a starling. We randomly select two cards.

The total number of possible outcomes is the number of ways we can choose two cards out of four, which is given by the combination formula:

Total possible outcomes = C(4, 2) = 4! / (2! * (4-2)!) = 6

Now, let's determine the number of favorable outcomes, which is the number of ways we can choose one fish card and one bird card out of the available fish and bird cards:

Number of favorable outcomes = C(2, 1) * C(2, 1) = (2! / (1! * (2-1)!)) * (2! / (1! * (2-1)!)) = 2 * 2 = 4

Therefore, the probability of getting one fish card and one bird card is:

Probability of one fish card and one bird card = Number of favorable outcomes / Total possible outcomes = 4 / 6 = 2/3 ≈ 0.6667

Please note that these calculations assume that the selection of cards is truly random and that each card has an equal chance of being chosen.